Tie-Jun Gao — Page 2

arXiv2012

Search for lepton flavor violation in supersymmetric models via meson decays

Considering the constraints from the experimental data on $μ\rightarrow eγ$, $μ\rightarrow3e$, $μ-e$ conversion etc., we analyze the Lepton Flavor Violating decays $ϕ(J/Ψ,Υ(1S)) \rightarrow e^+μ^-(μ^+τ^-)$ in the scenarios of the minimal supersymmetric extensions of Standard Model with seesaw Mechanism. Numerically, there is parameter space that the LFV processes of $J/Ψ(Υ)\rightarrowμ^+τ^-$ can reach the upper experimental bounds, meanwhile the theoretical predictions on $μ\rightarrow eγ$, $μ\rightarrow3e$, $μ-e$ conversion satisfy the present experimental bounds. For searching of new physics, Lepton Flavor Violating processes $J/Ψ(Υ)\rightarrowμ^+τ^-$ may be more promising and effective channels.

hep-ph↗

arXiv2011

Residue theorem and summing over Kaluza-Klein excitations

Applying the equations of motion together with corresponding boundary conditions of bulk profiles at infrared and ultraviolet branes, we verify some lemmas on the eigenvalues of Kaluze-Klein modes in framework of warped extra dimension with the custodial symmetry $SU(3)_c\times SU(2)_L\times SU(2)_R\times U(1)_X\times P_{LR}$. Using the lemmas and performing properly analytic extensions of bulk profiles, we present the sufficient condition for a convergent series of Kaluze-Klein excitations and sum over the series through the residue theorem. The method can also be applied to sum over the infinite series of Kaluze-Klein excitations in unified extra dimension. Additional, we analyze the possible connection between the propagators in five dimensional full theory and the product of bulk profiles with corresponding propagators of exciting Kaluze-Klein modes in four dimensional effective theory, and recover some relations presented in literature for warped and unified extra dimensions respectively. As an example, we demonstrate that the corrections from neutral Higgs to the Wilson coefficients of relevant operators for $B\rightarrow X_sγ$ contain the suppression factor $m_b^3m_s/m_{_{\rm w}}^4$ comparing with that from other sectors, thus can be neglected safely.

hep-ph↗