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

TL;DR

This paper calculates the decay width of the Higgs boson to charm quarks within the MSSM considering quark flavor violation, revealing significant sensitivity to QFV parameters and potential observable effects at future colliders.

Contribution

It provides a full one-loop level analysis of $h^0 o car{c}$ decay in the MSSM with quark flavor violation, including constraints from B meson data.

Findings

Decay width can differ up to ±35% from the SM value due to QFV effects.

Full one-loop corrections show high sensitivity to MSSM QFV parameters.

Potential to observe QFV SUSY effects at future $e^+ e^-$ colliders like ILC.

Abstract

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.