A numerical analysis of the supersymmetric flavor problem and radiative fermion masses

J.L. Díaz-Cruz, O.\. , Félix-Beltrán. , M. Gómez-Bock, R. Noriega-Papaqui, A. Rosado

Abstract


We perform a numerical study of the SUSY flavor problem in the MSSM, which allows us to estimate the size of the SUSY flavor
problem and its dependence on the MSSM parameters. For that, we have made
a numerical analysis, randomly generating the entries of the
sfermion mass matrices and then determined what percentage of these
points is consistent with current bounds on the flavor violating
transitions on lepton flavor violating (LFV) decays $l_i \rightarrow l_j \, \gamma$.
We applied two methods, the mass-insertion approximation method (MIAM) and the full diagonalization method (FDM).
Furthermore, we determined which fermion masses could be
radiatively generated (through gaugino-sfermion loops) in a
natural way, using those random sfermion matrices. In general, the electron mass generation can be obtained for 30% of
points for large $\tan\beta$, while in both schemes the muon mass can be
generated by 40% of points only when the most precise sfermion
splitting (from the FDM) is taken into
account.

Keywords


Supersymmetric; flavor problem; MSSM; sfermion masses; LFV decays

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

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