Abstract
The Minimal Supersymmetric Standard Model (MSSM) can be extended to include non-holomorphic trilinear soft supersymmetry (SUSY) breaking interactions that may have distinct signatures. We consider non-vanishing off-diagonal entries of the coupling matrices associated with holomorphic (of MSSM) and non-holomorphic trilinear terms corresponding to sleptons with elements {A}_{ij}^l and {A}_{ij}^{prime l} . We first improve the MSSM charge breaking minima condition of the vacuum to include the off-diagonal entries {A}_{ij}^l (with i ≠ j). We further extend this analysis for non-holomorphic trilinear interactions. No other sources of lepton flavor violation like that from charged slepton matrices are considered. We constrain the interaction terms via the experimental limits of processes like charged leptons decaying with lepton flavor violation (LFV) and Higgs boson decaying to charged leptons with LFV. Apart from the leptonic decays we compute all the three neutral LFV Higgs boson decays of MSSM. We find that an analysis with non-vanishing {A}_{emu}^{prime } involving the first two generations of sleptons receives the dominant constraint from μ → eγ. On the other hand, {A}_{etau}^{prime } or {A}_{mu tau}^{prime } can be constrained from the CMS 13 TeV analysis giving limits to the respective Yukawa couplings via considering SM Higgs boson decaying into eτ or μτ final states. Contributions from Al is too little to have any significance compared to the large effect from {A}_{ij}^{prime l} .
Highlights
CLFV decay rates drastically [5, 6]
The Minimal Supersymmetric Standard Model when extended with the most general soft SUSY breaking trilinear terms may lead to interesting phenomenologies
We focus on introducing flavor violating lepton decays and Higgs decaying to charged leptons involving flavor violation due to non-vanishing non-diagonal entries of the trilinear coupling matrices both of standard and non-standard types
Summary
We focus on the general lepton flavor mixing through left and right slepton mixing in the MSSM with R-parity conserved. The same Higgs mediated penguin diagrams, induced by φ − ̃li − ̄ ̃lj vertex, may effectively contribute in φ − li − ̄lj vertex through loops leading to Higgs flavor violating decays. The effective Lagrangian in eq (2.17) esentially generates all the off-diagonal Yukawa couplings radiatively if the respective holomorphic (non-holomorphic) trilinear couplings Aij (Aij) are non zero This in turn produces flavor violating decays of Higgs scalars or lepton 3-body decays induced by the Higgs penguins. Among the Higgs mediated diagrams, typically dominant contributions come from the CP-odd Higgs exchange A for large tan β This may be understood from the effective Lagrangian describing couplings of the physical Higgs bosons to the leptons, which can be derived from eq (2.17) [42, 91].
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