We analyze the significance of supersymmetry in two topological models and the standard model (SM). We conclude that the two topological field theory models favor hidden supersymmetry. The SM superpartners, instead, h...We analyze the significance of supersymmetry in two topological models and the standard model (SM). We conclude that the two topological field theory models favor hidden supersymmetry. The SM superpartners, instead, have not been found.展开更多
We present path integral quantization of a massive superparticle in d =4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N = 8 to N = 2. Its wo...We present path integral quantization of a massive superparticle in d =4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N = 8 to N = 2. Its worldline action contains a Wess-Zumino term, explicitly breaks d =4 Lorentz symmetry and exhibits one complex fermionic k-symmetry. We perform the Hamilton-Jacobi formalism of constrained systems, to obtain the equations of motion of the model as total differential equations in many variables. These equations of motion are in exact agreement with those obtained by Dirac’s method.展开更多
The Dirac equations with vector and scalar potentials of the Coulomb types in two and three dimensions are solved using the supersymmetric quantum mechanics method. For the system of such potentials, the analytical ex...The Dirac equations with vector and scalar potentials of the Coulomb types in two and three dimensions are solved using the supersymmetric quantum mechanics method. For the system of such potentials, the analytical expressions of the matrix dements for both position and momentum operators are obtained.展开更多
We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. ...We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. Useful figures and tables are also included.展开更多
It is proposed that supersymmetry （SUSY） may be used to understand fermion mass hierarchies. A family symmetry ZSL is introduced, which is the cyclic symmetry among the three generation SU（2） doublets. SUSY breaks...It is proposed that supersymmetry （SUSY） may be used to understand fermion mass hierarchies. A family symmetry ZSL is introduced, which is the cyclic symmetry among the three generation SU（2） doublets. SUSY breaks at a high energy scale - 10^11 GeV. The electroweak energy scale- 100 GeV is unnaturally small No additional global symmetry, like the R-parlty, is imposed. The Yukawa couplings and R-parity violating couplings all take their natural values, which are О（10^0 -10^-2）. Under the family symmetry, only the third generation charged ferrnions get their masses. This family symmetry is broken in the soft SUSY breaking terms, which result in a hierarchical pattern of the fermion masses. It turns out that for the charged leptons, the r mass is from the Higgs vacuum expectation value （VEV） and the sneutrino VEVs, the muon mass is due to the sneutrino VEVs, and the electron gains its mass due to both ZZL and SUSY hreaking. The large neutrino mixing are produced with neutralinos playing the partial role of right-handed neutrinos. │Ve3│, which is for Ve-Vr mixing, is expected to be about 0.1. For the quarks, the third generation masses are from the Higgs VEVs, the second generation masses are from quantum corrections, and the down quark mass due to the sneutrino VEVs. It explains me/ms, ms/me, md 〉 mu and so on. Other aspects of the model are discussed.展开更多
In this paper, we consider the Black-Scholes (BS) equation for option pricing with constant volatility. Here, we construct the first-order Darboux transformation and the real valued condition of transformed potential ...In this paper, we consider the Black-Scholes (BS) equation for option pricing with constant volatility. Here, we construct the first-order Darboux transformation and the real valued condition of transformed potential for BS corresponding equation. In that case we also obtain the transformed of potential and wave function. Finally, we discuss the factorization method and investigate the supersymmetry aspect of such corresponding equation. Also we show that the first order equation is satisfied by commutative algebra.展开更多
Dark matter was first suspected in clusters of galaxies when these galaxies were found to move with too high a speed to be retained in the cluster by their gravitational influence on each other. Some current theories ...Dark matter was first suspected in clusters of galaxies when these galaxies were found to move with too high a speed to be retained in the cluster by their gravitational influence on each other. Some current theories favor cold dark matter models where particles are created with low velocity dispersions and thus would become trapped in baryonic gravitational potentials. According to the standard Big-Bang model, dark matter is of nonbaryonic origin, otherwise the observed abundance of helium in the Universe would be violated. In this work, recent theoretical and observational developments are used to form a consistent picture of the events in the early Universe that gave rise to dark matter. According to the model that will be presented in this paper, supersymmetry plays a major role. In addition, the possibility that dark matter evolves in a spacetime manifold different from that of the observed Universe is discussed.展开更多
The main goal of this article is to present a new result of a possible approach to the geometrical description of the birth and evolution of the universe. The novelty of the article is that it is possible to explain t...The main goal of this article is to present a new result of a possible approach to the geometrical description of the birth and evolution of the universe. The novelty of the article is that it is possible to explain the nature of supersymmetry in terms of the geometric representation of the wave function and to propose a mechanism of spontaneous symmetry breaking of the excitation of the universe with different degrees of freedom. It is under such conditions that the well-known spontaneous symmetry breaking occurs and individual excitation acquires mass. At the same time, a phase transition of the first kind occurs with the formation of a new phase.展开更多
Einstein claimed that one cannot de？ne global time, and proposed de？ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact wi...Einstein claimed that one cannot de？ne global time, and proposed de？ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact with vectors with 8 bases, that consists of a couple of 4 dimensional vectors xi （i = 1, …, 4） and xi （i = 1, …,4）. In Cartan’s theory, spinors and vectors transform by super symmetric transformations G23, G12, G13, G123 and G132 and bases of fermion spinors consist of ξ0,ξi （i = 1, ···, 4）, ξ1234, ξ234, ξ134, ξ124, ξ123 and ξi,j （i /= j ∈{1,2,3,4}）. Except G23, the transformations mix spinors and vectors, and operations of G23 on spinors contain G23 ξ4 = ξ0 and G23 ξ123 = ξ1234, and operations of G23 on vectors contain G23x4 = ？x4＇ and G23 x4＇= ？x4. Therefore, there are 14 independent spinor bases and 7 independent vector bases, which corresponds to the number of bases of the G2 symmetry. From the bases of non-commutative geometry, Connes took two ？bers from a point of S3 basis, and on top of ？bers allowed two times propagate following von Neumann algebra, but evolution of the system was assumed to be de？ned by one-parameter group of transformation.Steenrod stated that the S7 symmetry can be regarded as S3 symmetry covered over S4 symmetry, which allows decomposition of S7 × R8 → （S3 × R4） × （S3 × R4）. We assume there is a space-time representation by an algebra C（V） of smooth function and matrix algebra Mnand transformations A are expressed as A = C（V ） Mn. In order to make total momentum space to remain 4 dimensional, the group of A becomes SO（3 ＋ n^2 -1,1）-SO（3,1） × SOn^2-1 in Minkowski space. We choose n = 3 and construct SO8 on R8 ？ R4,4. We apply this model to understanding experimentally observed CP violation in pp→ tt or bb and in pp → （H →bb） ＋ ll ＋jets and Time Reversal Based Nonlinear Elastic Wave Spectroscopy （TR-NEWS） method.展开更多
Einstein claimed that one cannot de？ne global time, and in order to formulate physical dynamics, it is useful to adopt ？ber bundle structure. We de？ne topological space E which consists of base space X and ？bers ...Einstein claimed that one cannot de？ne global time, and in order to formulate physical dynamics, it is useful to adopt ？ber bundle structure. We de？ne topological space E which consists of base space X and ？bers F = Π-1（X）, where Π is a projection of an event on the base space. Relations between initial data and ？nal data are de？ned by group G and a Fiber bundle is de？ned as as set （E, Π, F, G, X）.Tangent bundle TX of real linear space X is de？ned by the projection πTX = TX → X; （x,a） → a for any a ∈ X and a sphere Sn any non negative integer n may be thought to be a smooth submanifold of Rn＋1 and TSn is identi？ed as {（x,a） ∈Rn＋1 ×Sn ： x·a = 0} Connes proposed that when one adopts non-commutative geometry, one can put two ？bers at each point of X and on top of the two ？bers de？ne the initial input event and the ？nal detection event. When one considers dynamics of leptons de？ned by Dirac equation, group G is given by quaternions H, and the base space X is usually taken to be S3. E. Cartan studied dynamics of spinors which are described by octonions or Cayley numbers which is an ordered product of two quaternions. The asymptotic form Y of this system is S7. Cayley numbers of S7 are de？ned as a 3-sphere bundle over S4 with group S3. Therefore in T X there are two manifolds S3 × R4 and S3＇ × R4 and the direction of propagation of time on S3 and S＇3 are not necessarily same. We apply this formulation to experimentally observed violation of time reversal symmetry in pp→ tt process and for understanding the result of time reversal based nonlinear elastic wave spectroscopy （TR-NEWS） in memoducers.展开更多
The N-periodic wave solvability problem for the N=1 supersymmetric Sawada–Kotera–Ramani equation is considered by combining the Hirota's bilinear method and the super Riemann theta function. The constraint equat...The N-periodic wave solvability problem for the N=1 supersymmetric Sawada–Kotera–Ramani equation is considered by combining the Hirota's bilinear method and the super Riemann theta function. The constraint equations and unknown parameters are redefined, and the numerical calculation process of the N-periodic wave solutions is derived. It has been verified that under certain conditions, the asymptotic relations between N-periodic wave solutions and N-soliton solutions can be established. Some numerical solutions of three-periodic wave are presented. Under the influence of the Grassmann variable, the three-periodic wave solutions will generate an influence band in the middle region, and the amplitude becomes bigger as the distance from the influence band increases.展开更多
We review the recent discovery of the Higgs like particle at - 125 GeV and its implications for par- ticle physics models. Specifically the implications of the relatively high Higgs mass for the discovery of supersymm...We review the recent discovery of the Higgs like particle at - 125 GeV and its implications for par- ticle physics models. Specifically the implications of the relatively high Higgs mass for the discovery of supersymmetry are discussed. Several related topics such as naturalness and supersymmetry, dark matter and unification are also discussed.展开更多
This paper briefly reviews the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on Z → i j in two representative supersymmetric models: the minimal supersymmetric model without R-pari...This paper briefly reviews the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on Z → i j in two representative supersymmetric models: the minimal supersymmetric model without R-parity and the supersymmetric seesaw model.The work concludes that under the current experimental constraints from LEP and i → j γ,these rare decays can still be enhanced to reach the sensitivity of the GigaZ.Therefore,supersymmetry can be probed via these decays at GigaZ.展开更多
In past years,several hints of lepton flavor universality（LFU）violation have emerged from the b→ct■,and b→sl+l-data.More recently,the Belle Collaboration has reported the first measurement of the D* longitudinal ...In past years,several hints of lepton flavor universality（LFU）violation have emerged from the b→ct■,and b→sl+l-data.More recently,the Belle Collaboration has reported the first measurement of the D* longitudinal polarization fraction in the B→D*τV decay.Motivated by this intriguing result,along with the recent measurements of RJ/Ψand τ polarization,we present the study of b→ct■ decays in supersymmetry（SUSY）with R-parity violation（RPV）.We consider B→D（*）t■,Bc→ηct■,Bc→J/ψt■ and ∧b→∧ct■ modes and focus on the branching ratios,LFU ratios,forward-backward asymmetries,polarizations of daughter hadrons,and the τ lepton.The RPV SUSY was capable of explaining the RD（*） anomalies at the 2σ level,after taking into account various flavor constraints.In the allowed parameter space,the differential branching fractions and LFU ratios are largely enhanced by the SUSY effects,especially in the large dilepton invariant mass region.Moreover,a lower bound B（B+→K+vv）>7.37×10-6 is obtained.These observables could provide testable signatures at the high-luminosity LHC and SuperKEKB,and correlate with direct searches for SUSY.展开更多
Magnetic Monopole SearchesIsolated supermassive monopole candidate events have not been confirmed. The most sensitive experiments obtain negative results.
Motivated by the first measurement on B（Bs→ Ф μ^＋ μ^-by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic Bs→ Ф μ^＋ μ^-ecay. In our evaluations, we analyze the dependences of the d...Motivated by the first measurement on B（Bs→ Ф μ^＋ μ^-by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic Bs→ Ф μ^＋ μ^-ecay. In our evaluations, we analyze the dependences of the dimuon invariant mass spectrum and the forward-backward asymmetry on relevant supersymmetric couplings in the MSSM with and without R-parity. The analyses show that the new experimental upper limits of B（Bs→ Ф μ^＋ μ^-from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and （δ^u LL）23 as well as （δ^d LL,RR）23 mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from B（Bs→ Ф μ^＋ μ^- B（B → K^（＊） μ^＋ μ^-and B（Bs → μ^＋ μ^-, the dimuon forward-backward asymmetry and the differential dimuon forward-backward asymmetry of Bs→Ф μ^＋ μ^-re highly sensitive to the squark exchange contribution and the （ LL）23 mass insertion contribution. The results obtained in this work will be very useful in searching for supersymmetric signals at the LHC.展开更多
It is generally believed that the low energy effective theory of the minimal supersymmetric standard model is the type 2 two Higgs doublet model. We will show that the type 1 two Higge doublet model can also be as the...It is generally believed that the low energy effective theory of the minimal supersymmetric standard model is the type 2 two Higgs doublet model. We will show that the type 1 two Higge doublet model can also be as the effective of supersymmetry in a specific ease with high scale supersymmetry breaking and gauge mediation. If the other electroweak doublet obtain the vacuum expectation value after the electroweak symmetry breaking, the Higgs spectrum is quite different. A remarkable feature is that the physical Higgs boson mass can be 125 GeV unlike in the ordinary models with high scale supersymmetry in which the Higgs mass is generally around 140 GeV.展开更多
In the framework in which supersymmetry is used for understanding fermion masses rather than stabilizing the electroweak scale, we elaborate on the phenomenological analysis for the neutrino physics. A relatively larg...In the framework in which supersymmetry is used for understanding fermion masses rather than stabilizing the electroweak scale, we elaborate on the phenomenological analysis for the neutrino physics. A relatively large sin θ13= 0.13 is naturally obtained. The model further predicts vanishingly small CP violation in neutrino oscillations. While the high scale supersymmetry generically results in a Higgs mass of about 141 GeV, our model reduces this mass to 126 CeV via introducing SU（2）L triplet fields which make the electroweak vacuum metastable （with a safe lifetime） and also contribute to neutrino masses.展开更多
In this paper the usual Z2 graded Lie algebra is generalized to a new form, which may be called Z2,2 graded Lie algebra. It is shown that there exist close connections between the Z2,2 graded Lie algebra and parastati...In this paper the usual Z2 graded Lie algebra is generalized to a new form, which may be called Z2,2 graded Lie algebra. It is shown that there exist close connections between the Z2,2 graded Lie algebra and parastatistics, so the Z2,2 can be used to study and analyse various symmetries and supersymmetries of the paraparticle systems.展开更多
This paper shows that one type of first order Dirac equation with vector coupling and scalar coupling potentials can be brought into the framework of non relativistic supersymmetric quantum mechanics. The conclusion...This paper shows that one type of first order Dirac equation with vector coupling and scalar coupling potentials can be brought into the framework of non relativistic supersymmetric quantum mechanics. The conclusion is independent of the concrete forms of the vector and scalar coupling potentials because of the nilpotent matrix realization of supersymmetric quantum mechanical algebra. The supersymmetry of this kind of Dirac equation requires that a spin orbit coupling term be introduced into the associated supersymmetric Hamiltonian.展开更多
文摘We analyze the significance of supersymmetry in two topological models and the standard model (SM). We conclude that the two topological field theory models favor hidden supersymmetry. The SM superpartners, instead, have not been found.
文摘We present path integral quantization of a massive superparticle in d =4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N = 8 to N = 2. Its worldline action contains a Wess-Zumino term, explicitly breaks d =4 Lorentz symmetry and exhibits one complex fermionic k-symmetry. We perform the Hamilton-Jacobi formalism of constrained systems, to obtain the equations of motion of the model as total differential equations in many variables. These equations of motion are in exact agreement with those obtained by Dirac’s method.
基金National Natural Science Foundation of China under Grant Nos.10125521 and 60371013the 973 State Key Basic Research Development Project of China under Grant No.G2000077400
文摘The Dirac equations with vector and scalar potentials of the Coulomb types in two and three dimensions are solved using the supersymmetric quantum mechanics method. For the system of such potentials, the analytical expressions of the matrix dements for both position and momentum operators are obtained.
文摘We apply an approximation to the centrifugal term and solve the two-body spinless-Salpeter equation （SSE） with the Yukawa potential via the supersymmetric quantum mechanics （SUSYQM） for arbitrary quantum numbers. Useful figures and tables are also included.
基金The project supported by National Natural Science Foundation of China .Acknowledgments We would like to thank Yue-Liang Wu, Jin-Min Yang, Zhi-Zhong Xing, and Pyungwon Ko for helpful discussions.
文摘It is proposed that supersymmetry （SUSY） may be used to understand fermion mass hierarchies. A family symmetry ZSL is introduced, which is the cyclic symmetry among the three generation SU（2） doublets. SUSY breaks at a high energy scale - 10^11 GeV. The electroweak energy scale- 100 GeV is unnaturally small No additional global symmetry, like the R-parlty, is imposed. The Yukawa couplings and R-parity violating couplings all take their natural values, which are О（10^0 -10^-2）. Under the family symmetry, only the third generation charged ferrnions get their masses. This family symmetry is broken in the soft SUSY breaking terms, which result in a hierarchical pattern of the fermion masses. It turns out that for the charged leptons, the r mass is from the Higgs vacuum expectation value （VEV） and the sneutrino VEVs, the muon mass is due to the sneutrino VEVs, and the electron gains its mass due to both ZZL and SUSY hreaking. The large neutrino mixing are produced with neutralinos playing the partial role of right-handed neutrinos. │Ve3│, which is for Ve-Vr mixing, is expected to be about 0.1. For the quarks, the third generation masses are from the Higgs VEVs, the second generation masses are from quantum corrections, and the down quark mass due to the sneutrino VEVs. It explains me/ms, ms/me, md 〉 mu and so on. Other aspects of the model are discussed.
文摘In this paper, we consider the Black-Scholes (BS) equation for option pricing with constant volatility. Here, we construct the first-order Darboux transformation and the real valued condition of transformed potential for BS corresponding equation. In that case we also obtain the transformed of potential and wave function. Finally, we discuss the factorization method and investigate the supersymmetry aspect of such corresponding equation. Also we show that the first order equation is satisfied by commutative algebra.
文摘Dark matter was first suspected in clusters of galaxies when these galaxies were found to move with too high a speed to be retained in the cluster by their gravitational influence on each other. Some current theories favor cold dark matter models where particles are created with low velocity dispersions and thus would become trapped in baryonic gravitational potentials. According to the standard Big-Bang model, dark matter is of nonbaryonic origin, otherwise the observed abundance of helium in the Universe would be violated. In this work, recent theoretical and observational developments are used to form a consistent picture of the events in the early Universe that gave rise to dark matter. According to the model that will be presented in this paper, supersymmetry plays a major role. In addition, the possibility that dark matter evolves in a spacetime manifold different from that of the observed Universe is discussed.
文摘The main goal of this article is to present a new result of a possible approach to the geometrical description of the birth and evolution of the universe. The novelty of the article is that it is possible to explain the nature of supersymmetry in terms of the geometric representation of the wave function and to propose a mechanism of spontaneous symmetry breaking of the excitation of the universe with different degrees of freedom. It is under such conditions that the well-known spontaneous symmetry breaking occurs and individual excitation acquires mass. At the same time, a phase transition of the first kind occurs with the formation of a new phase.
文摘Einstein claimed that one cannot de？ne global time, and proposed de？ning local time additionally. Such approach was adopted also by E. Cartan, in which fermions are described by spinors with 16 bases and interact with vectors with 8 bases, that consists of a couple of 4 dimensional vectors xi （i = 1, …, 4） and xi （i = 1, …,4）. In Cartan’s theory, spinors and vectors transform by super symmetric transformations G23, G12, G13, G123 and G132 and bases of fermion spinors consist of ξ0,ξi （i = 1, ···, 4）, ξ1234, ξ234, ξ134, ξ124, ξ123 and ξi,j （i /= j ∈{1,2,3,4}）. Except G23, the transformations mix spinors and vectors, and operations of G23 on spinors contain G23 ξ4 = ξ0 and G23 ξ123 = ξ1234, and operations of G23 on vectors contain G23x4 = ？x4＇ and G23 x4＇= ？x4. Therefore, there are 14 independent spinor bases and 7 independent vector bases, which corresponds to the number of bases of the G2 symmetry. From the bases of non-commutative geometry, Connes took two ？bers from a point of S3 basis, and on top of ？bers allowed two times propagate following von Neumann algebra, but evolution of the system was assumed to be de？ned by one-parameter group of transformation.Steenrod stated that the S7 symmetry can be regarded as S3 symmetry covered over S4 symmetry, which allows decomposition of S7 × R8 → （S3 × R4） × （S3 × R4）. We assume there is a space-time representation by an algebra C（V） of smooth function and matrix algebra Mnand transformations A are expressed as A = C（V ） Mn. In order to make total momentum space to remain 4 dimensional, the group of A becomes SO（3 ＋ n^2 -1,1）-SO（3,1） × SOn^2-1 in Minkowski space. We choose n = 3 and construct SO8 on R8 ？ R4,4. We apply this model to understanding experimentally observed CP violation in pp→ tt or bb and in pp → （H →bb） ＋ ll ＋jets and Time Reversal Based Nonlinear Elastic Wave Spectroscopy （TR-NEWS） method.
文摘Einstein claimed that one cannot de？ne global time, and in order to formulate physical dynamics, it is useful to adopt ？ber bundle structure. We de？ne topological space E which consists of base space X and ？bers F = Π-1（X）, where Π is a projection of an event on the base space. Relations between initial data and ？nal data are de？ned by group G and a Fiber bundle is de？ned as as set （E, Π, F, G, X）.Tangent bundle TX of real linear space X is de？ned by the projection πTX = TX → X; （x,a） → a for any a ∈ X and a sphere Sn any non negative integer n may be thought to be a smooth submanifold of Rn＋1 and TSn is identi？ed as {（x,a） ∈Rn＋1 ×Sn ： x·a = 0} Connes proposed that when one adopts non-commutative geometry, one can put two ？bers at each point of X and on top of the two ？bers de？ne the initial input event and the ？nal detection event. When one considers dynamics of leptons de？ned by Dirac equation, group G is given by quaternions H, and the base space X is usually taken to be S3. E. Cartan studied dynamics of spinors which are described by octonions or Cayley numbers which is an ordered product of two quaternions. The asymptotic form Y of this system is S7. Cayley numbers of S7 are de？ned as a 3-sphere bundle over S4 with group S3. Therefore in T X there are two manifolds S3 × R4 and S3＇ × R4 and the direction of propagation of time on S3 and S＇3 are not necessarily same. We apply this formulation to experimentally observed violation of time reversal symmetry in pp→ tt process and for understanding the result of time reversal based nonlinear elastic wave spectroscopy （TR-NEWS） in memoducers.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 12101572 and 12371256)2024 Shanxi Province Graduate Innovation Project (Grant No. 2024KY615)the Fundamental Research Program of Shanxi Province of China (Grant No. 202403021211002)。
文摘The N-periodic wave solvability problem for the N=1 supersymmetric Sawada–Kotera–Ramani equation is considered by combining the Hirota's bilinear method and the super Riemann theta function. The constraint equations and unknown parameters are redefined, and the numerical calculation process of the N-periodic wave solutions is derived. It has been verified that under certain conditions, the asymptotic relations between N-periodic wave solutions and N-soliton solutions can be established. Some numerical solutions of three-periodic wave are presented. Under the influence of the Grassmann variable, the three-periodic wave solutions will generate an influence band in the middle region, and the amplitude becomes bigger as the distance from the influence band increases.
基金Acknowledgements This work was supported in part by the U.S. National Science Foundation （NSF） grants PHY-0757959, PHY-070467, TG-PHY 110015 and DOE NERSC grant DE-AC02- 05CH11231.
文摘We review the recent discovery of the Higgs like particle at - 125 GeV and its implications for par- ticle physics models. Specifically the implications of the relatively high Higgs mass for the discovery of supersymmetry are discussed. Several related topics such as naturalness and supersymmetry, dark matter and unification are also discussed.
基金supported by the National Natural Science Foundation of China (Grant Nos.10821504,10725526 and 10635030)
文摘This paper briefly reviews the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on Z → i j in two representative supersymmetric models: the minimal supersymmetric model without R-parity and the supersymmetric seesaw model.The work concludes that under the current experimental constraints from LEP and i → j γ,these rare decays can still be enhanced to reach the sensitivity of the GigaZ.Therefore,supersymmetry can be probed via these decays at GigaZ.
基金Supported by the National Natural Science Foundation of China(11775092,11521064,11435003,11805077)supported in part by the startup research funding from CCNU
文摘In past years,several hints of lepton flavor universality（LFU）violation have emerged from the b→ct■,and b→sl+l-data.More recently,the Belle Collaboration has reported the first measurement of the D* longitudinal polarization fraction in the B→D*τV decay.Motivated by this intriguing result,along with the recent measurements of RJ/Ψand τ polarization,we present the study of b→ct■ decays in supersymmetry（SUSY）with R-parity violation（RPV）.We consider B→D（*）t■,Bc→ηct■,Bc→J/ψt■ and ∧b→∧ct■ modes and focus on the branching ratios,LFU ratios,forward-backward asymmetries,polarizations of daughter hadrons,and the τ lepton.The RPV SUSY was capable of explaining the RD（*） anomalies at the 2σ level,after taking into account various flavor constraints.In the allowed parameter space,the differential branching fractions and LFU ratios are largely enhanced by the SUSY effects,especially in the large dilepton invariant mass region.Moreover,a lower bound B（B+→K+vv）>7.37×10-6 is obtained.These observables could provide testable signatures at the high-luminosity LHC and SuperKEKB,and correlate with direct searches for SUSY.
文摘Magnetic Monopole SearchesIsolated supermassive monopole candidate events have not been confirmed. The most sensitive experiments obtain negative results.
基金Supported by National Natural Science Foundation of China(11105115,11147136),Joint Funds of the National Natural Science Foundation of China(U1204113)Project of Basic and Advanced,Technology Research of Henan Province(112300410021)Natural Research Project of Henan Province(2011A140023)
文摘Motivated by the first measurement on B（Bs→ Ф μ^＋ μ^-by the CDF Collaboration, we study the supersymmetric effects in semi-leptonic Bs→ Ф μ^＋ μ^-ecay. In our evaluations, we analyze the dependences of the dimuon invariant mass spectrum and the forward-backward asymmetry on relevant supersymmetric couplings in the MSSM with and without R-parity. The analyses show that the new experimental upper limits of B（Bs→ Ф μ^＋ μ^-from the LHCb Collaboration could further improve the bounds on sneutrino exchange couplings and （δ^u LL）23 as well as （δ^d LL,RR）23 mass insertion couplings. In addition, within the allowed ranges of relevant couplings under the constraints from B（Bs→ Ф μ^＋ μ^- B（B → K^（＊） μ^＋ μ^-and B（Bs → μ^＋ μ^-, the dimuon forward-backward asymmetry and the differential dimuon forward-backward asymmetry of Bs→Ф μ^＋ μ^-re highly sensitive to the squark exchange contribution and the （ LL）23 mass insertion contribution. The results obtained in this work will be very useful in searching for supersymmetric signals at the LHC.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11075193 and 10821504the National Basic Research Program of China under Grant No.2010CB833000
文摘It is generally believed that the low energy effective theory of the minimal supersymmetric standard model is the type 2 two Higgs doublet model. We will show that the type 1 two Higge doublet model can also be as the effective of supersymmetry in a specific ease with high scale supersymmetry breaking and gauge mediation. If the other electroweak doublet obtain the vacuum expectation value after the electroweak symmetry breaking, the Higgs spectrum is quite different. A remarkable feature is that the physical Higgs boson mass can be 125 GeV unlike in the ordinary models with high scale supersymmetry in which the Higgs mass is generally around 140 GeV.
基金Supported in part by the National Natural Science Foundation of China under Grant Nos.11075193 and 10821504the National Basic Research Program of China under Grant No.2010CB833000
文摘In the framework in which supersymmetry is used for understanding fermion masses rather than stabilizing the electroweak scale, we elaborate on the phenomenological analysis for the neutrino physics. A relatively large sin θ13= 0.13 is naturally obtained. The model further predicts vanishingly small CP violation in neutrino oscillations. While the high scale supersymmetry generically results in a Higgs mass of about 141 GeV, our model reduces this mass to 126 CeV via introducing SU（2）L triplet fields which make the electroweak vacuum metastable （with a safe lifetime） and also contribute to neutrino masses.
基金the National Natural Science Foundation of China (Grant Nos. 19271077, 10075042) LWTZ 1298 of the Chinese Academy of Sciences.
文摘In this paper the usual Z2 graded Lie algebra is generalized to a new form, which may be called Z2,2 graded Lie algebra. It is shown that there exist close connections between the Z2,2 graded Lie algebra and parastatistics, so the Z2,2 can be used to study and analyse various symmetries and supersymmetries of the paraparticle systems.
基金Tsinghua Basic Science Foundation!( 98JC0 79) partially by the National NaturalScience Foundation of China!( No.1990 5 0
文摘This paper shows that one type of first order Dirac equation with vector coupling and scalar coupling potentials can be brought into the framework of non relativistic supersymmetric quantum mechanics. The conclusion is independent of the concrete forms of the vector and scalar coupling potentials because of the nilpotent matrix realization of supersymmetric quantum mechanical algebra. The supersymmetry of this kind of Dirac equation requires that a spin orbit coupling term be introduced into the associated supersymmetric Hamiltonian.
