Higgs masses and electroweak precision observables in the lepton-flavor-violating MSSM

We study the effects of lepton flavor violation (LFV) in the scalar lepton sector of the MSSM on precision observables such as the $W$-boson mass and the effective weak leptonic mixing angle, and on the Higgs-boson mass predictions. The slepton mass matrices are parametrized in a model-independent way by a complete set of dimensionless parameters which we constrain through LFV decay processes and the precision observables. We find regions where both conditions are similarly constraining. The necessary prerequisites for the calculation have been added to FeynArts and FormCalc and are thus publicly available for further studies. The obtained results are available in FeynHiggs.

Figure 1

Generic Feynman diagrams for the Higgs-boson self-energies and tadpoles. $\varphi$ denotes any of the Higgs bosons, $h$, $H$, $A$ or $H^{\pm }$; $\ell$ stands for $e$, $\mu$, $\tau$; ${\tilde{\ell }}_x$ are the six mass eigenstates of charged sleptons; and ${\tilde{\nu }}_x$ are the three sneutrino states ${\tilde{\nu }}_e$, ${\tilde{\nu }}_{\mu }$, ${\tilde{\nu }}_{\tau }$.

Figure 2

Generic Feynman diagrams for the $W$- and $Z$-boson self-energies containing sleptons in loops. The six mass eigenstates of charged sleptons are denoted by ${\tilde{\ell }}_x$, and ${\tilde{\nu }}_x$ stands for the three sneutrino states ${\tilde{\nu }}_e$, ${\tilde{\nu }}_{\mu }$, ${\tilde{\nu }}_{\tau }$.

Figure 3

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{13}^{LL}$ for the six points defined in Table 1.

Figure 4

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{23}^{LL}$ for the six points defined in Table 1. Solid red (blue) line shows the present (future) experimental uncertainty.

Figure 5

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{13}^{LR}$ for the six points defined in Table 1.

Figure 6

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{23}^{LR}$ for the six points defined in Table 1.

Figure 7

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{13}^{RL}$ for the six points defined in Table 1.

Figure 8

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{23}^{RL}$ for the six points defined in Table 1.

Figure 9

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{13}^{RR}$ for the six points defined in Table 1.

Figure 10

EWPO and Higgs masses as a function of slepton mixing ${\delta }_{23}^{RR}$ for the six points defined in Table 1.