# Constraining the MSSM sfermion mass matrices with light fermion masses

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Jennifer Girrbach, Jul 24, 2015 Available from:-
- "Since NA62 runs concurrently with the LHC, it is anyway useful to express ∆r µ−e in terms of the physical quantities probed in high-p T physics. Σ ℓ jR −ℓ iL is relevant for the W -coupling to leptons if j > i (and thus contributes to threshold corrections of the PMNS matrix as studied in Ref. [12] [28]), whereas for j < i Σ ℓ jR −ℓ iL is responsible for the correction of the charged-Higgs coupling. The charged-Higgs couplings to leptons Γ H + ℓ i ν ℓ j including an analytic resummation of tan β-enhanced corrections are listed in Eqs. "

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**ABSTRACT:**The quantity R_K = Gamma(K -> e nu)/Gamma(K -> mu nu) studied by the experiment NA62 at CERN is known to probe lepton-flavour violating (LFV) parameters of the Minimal Supersymmetric Standard Model (MSSM). A non-zero parameter delta_{RR}^{13} can open the decay channel K -> e nu_tau and enhance R_K over its Standard-Model value. In the region of the parameter space probed by NA62 the contribution from a bino-stau loop diagram is numerically dominant and the mixing between left-handed and right-handed staus is important. For large values of the stau mixing angle theta_tau the commonly adopted mass insertion approximation is not accurate. We therefore express the supersymmetric contribution to R_K in terms of the mass of the lightest stau eigenstate, the mixing angle theta_tau, and other relevant MSSM parameter such as tan(beta) and the charged-Higgs boson mass M_H and plot the parameter regions constrained by R_K. We further study to which extent R_K can be depleted through MSSM contributions interfering destructively with the SM amplitude for K -> e nu_e. This lepton-flavour conserving (LFC) mechanism involves the parameter combination |delta_{LL}^{13} delta_{RR}^{13}|, which can be constrained with a naturalness consideration for the electron mass or with the measurement of the anomalous magnetic moment of the electron. The LFC effect on R_K is marginal, an NA62 measurement of R_K significantly below the Standard Model expectation would indicate physics beyond the MSSM. - [Show abstract] [Hide abstract]

**ABSTRACT:**We study the decay modes ${\overline B_s} \to \phi {\pi^0}$ and ${\overline B_s} \to \phi {\rho^0}$ using Soft Collinear Effective Theory. Within Standard Model and including the error due to the SU(3) breaking effect in the SCET parameters we find that BR ${\overline B_s} \to \phi {\pi^0} = 7_{ - 1 - 2}^{ + 1 + 2} \times {10^{ - 8}}$ and BR ${\overline B_s} \to \phi {\pi^0} = 9_{ - 1 - 4}^{ + 1 + 3} \times {10^{ - 8}}$ corresponding to solution 1 and solution 2 of the SCET parameters respectively. For the decay mode ${\overline B_s} \to \phi {\rho^0}$ , we find that BR ${\overline B_s} \to \phi {\rho^0} = 20.2_{ - 1 - 12}^{ + 1 + 9} \times {10^{ - 8}}$ and BR ${\overline B_s} \to \phi {\rho^0} = 34.0_{ - 1.5 - 22}^{ + 1.5 + 15} \times {10^{ - 8}}$ corresponding to solution 1 and solution 2 of the SCET parameters respectively. We extend our study to include supersymmetric models with non-universal A-terms where the dominant contributions arise from diagrams mediated by gluino and chargino exchanges. We show that gluino contributions can not lead to an enhancement of the branching ratios of ${\overline B_s} \to \phi {\pi^0}$ and ${\overline B_s} \to \phi {\rho^0}$ . In addition, we show that SUSY contributions mediated by chargino exchange can enhance the branching ratio of ${\overline B_s} \to \phi {\pi^0}$ by about 14 % with respect to the SM prediction. For the branching ratio of ${\overline B_s} \to \phi {\rho^0}$ , we find that SUSY contributions can enhance its value by about 1 % with respect to the SM prediction.Journal of High Energy Physics 2012(8). DOI:10.1007/JHEP08(2012)031 · 6.22 Impact Factor -
##### Article: Lepton flavour violation in the MSSM

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**ABSTRACT:**We derive new constraints on the quantities δ XY ij , X, Y = L,R, which parametrise the flavour-off-diagonal terms of the charged slepton mass matrix in the MSSM. Considering mass and anomalous magnetic moment of the electron we obtain the bound | dLL13dRR13 | <~0.1 \left| {\delta_{LL}^{13}\delta_{RR}^{{13}}} \right| \lesssim 0.{1} for tan β = 50, which involves the poorly constrained element δ RR 13. We improve the predictions for the decays τ → μγ, τ → eγ and μ → eγ by including two-loop corrections which are enhanced if tan β is large. The finite renormalisation of the PMNS matrix from soft SUSY-breaking terms is derived and applied to the charged-Higgs-lepton vertex. We find that the experimental bound on BR(τ → eγ) severely limits the size of the MSSM loop correction to the PMNS element U e3, which is important for the proper interpretation of a future U e3 measurement. Subsequently we confront our new values for δ LL ij with a GUT analysis. Further, we include the effects of dimension-5 Yukawa terms, which are needed to fix the Yukawa unification of the first two generations. If universal supersymmetry breaking occurs above the GUT scale, we find the flavour structure of the dimension-5 Yukawa couplings tightly constrained by μ → eγ. KeywordsSupersymmetry PhenomenologyJournal of High Energy Physics 05/2010; 2010(5):1-48. DOI:10.1007/JHEP05(2010)026 · 6.22 Impact Factor