Consistent Higher-Order Corrections to Stop_i -> Sbottom_j H^+ in the Complex MSSM

TL;DR

This paper investigates the renormalization of the top and bottom quark/squark sector in the complex MSSM, highlighting challenges in achieving consistent higher-order corrections across parameter space.

Contribution

It introduces and analyzes various renormalization schemes for the cMSSM, identifying limitations and proposing a preferred scheme based on numerical stability.

Findings

No universal renormalization scheme is numerically acceptable across all cMSSM parameters.

The 'm_b, A_b DRbar' scheme provides more stable results in certain decay calculations.

Numerical examples demonstrate the application of the preferred scheme to specific decay widths.

Abstract

We review an analysis of a consistent renormalization of the top and bottom quark/squark sector of the MSSM with complex parameters (cMSSM). Various renormalization schemes are defined, analyzed analytically and tested numerically in the decays Stop_2 -> Sbottom_i H^+/W^+ (i = 1,2). No scheme is found that produces numerically acceptable results over all the cMSSM parameter space, where problems occur mostly already for real parameters. Some numerical examples for Gamma(Stop_2 -> Sbottom_1 H^+) in our preferred scheme, "m_b, A_b DRbar" are shown.