We study the decay of the lightest neutral Higgs boson to a charm quark pair at full one-loop level in the MSSM with non-minimal quark flavour violation (QFV). In the numerical analysis we consider mixing between the second and the third squark gener
ation and all relevant constraints from B meson data are taken into account. It is shown that the full one-loop corrected decay width can be quite sensitive to the MSSM QFV parameters due to large $tilde c - tilde t$ mixing and large trilinear couplings. After summarising the theoretical and experimental errors, we conclude that an observation of these SUSY QFV effects is possible at the ILC.
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 adopting the $overline{rm DR}$ renormalisation scheme. We study the effects of $tilde{c}-tilde{t}$ mixing, taking into account the co
nstraints from the B meson data. We show 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 SUSY QFV effects is possible at an $e^+ e^-$ collider (ILC).
We study effects of CP violation in the associated production of a charged Higgs boson and a top quark at the LHC, $pp to tH^pm + X$. We calculate the CP violating asymmetry between the total cross section for $H^+$ and $H^-$ production at next-to-le
ading order in the MSSM, and perform a detailed numerical analysis. In the production the asymmetry is of the order of 20%. The asymmetry in the production and any subsequent decay of an on-shell charged Higgs boson is to a good approximation the sum of the asymmetry in the production and the asymmetry in the decay. We consider subsequent decays of $H^pm $ to $t b$, $ u_tau tau^pm$ and $W h^0$. In the case with $H^pm to t b$ decay, mainly due to CP violating box graphs with gluino, the asymmetry can go up to $sim$ 12%.