$B \to X_s \gamma$ in minimal supersymmetric standard model with general flavor mixing

TL;DR

This paper analyzes the decay process $b o s \gamma$ within the minimal supersymmetric standard model considering general flavor mixing, revealing the impact of next-to-leading order effects on gluino contributions and the sensitivity to flavor mixing parameters.

Contribution

It introduces the next-to-leading order focusing effect in $b o s \\gamma$ decay calculations, showing significant reduction of gluino contributions and highlighting the sensitivity to specific flavor mixing parameters.

Findings

Next-to-leading order focusing effect reduces gluino contribution.

$BR(B o X_s \\gamma)$ is highly sensitive to certain flavor mixing parameters.

Lower bounds on $m_{1/2}$ can be relaxed with flavor mixing considerations.

Abstract

We present the results of our analysis on $b \to s \gamma$ in the minimal supersymmetric standard model with a general flavor mixing in the squark sector. We identify the next--to--leading order focusing effect, which considerably reduces the gluino contribution to $b \to s \gamma$ relative to the leading order calculation. We illustrate that $BR(B \to X_s \gamma)$ is still very sensitive to the flavor mixing parameters, $\delta^d_{ll}$ and $\delta^d_{lr}$ so that the lower bound for $m_{1/2}$ obtained in the minimal flavor violation can be easily removed even at $\mu<0$, while it is rather stable against $\delta^d_{rr}$ and $\delta^d_{rl}$.