Impact of quark flavor violation on the decay $h^0(125GeV) to cbar{c}$ in the MSSM

We compute the decay width of $h^0 to c bar{c}$ in the MSSM with quark flavor violation (QFV) at full one-loop level in the $overline{rm DR}$ renormalization scheme. We study the effects of $tilde{c}-tilde{t}$ mixing, taking into account the constraints on QFV from the B meson data. We find that the full one-loop corrected decay width $Gamma(h^0 to c bar{c})$ is very sensitive to the MSSM QFV parameters. In a scenario with large $tilde{c}_{L,R}-tilde{t}_{L,R}$ mixing, $Gamma (h^0 to c bar{c})$ can differ up to $sim pm 35%$ from its SM value. After estimating the uncertainties of the width, we conclude that an observation of these QFV SUSY effects is possible at a future $e^+ e^-$ collider such as ILC.