Resummation of Goldstone boson contributions to the MSSM effective potential

TL;DR

This paper presents a method to resum Goldstone boson contributions in the MSSM effective potential, resolving issues with imaginary parts and singularities, and simplifies the minimization conditions.

Contribution

It introduces a resummation technique that removes problematic terms in the MSSM effective potential and reformulates minimization conditions to avoid Goldstone boson masses.

Findings

Resummation eliminates spurious imaginary parts.

Numerical impact of resummation is minimal.

Two-loop minimization conditions can be written without Goldstone boson masses.

Abstract

We discuss the resummation of the Goldstone boson contributions to the effective potential of the Minimal Supersymmetric Standard Model (MSSM). This eliminates the formal problems of spurious imaginary parts and logarithmic singularities in the minimization conditions when the tree-level Goldstone boson squared masses are negative or approach zero. The numerical impact of the resummation is shown to be almost always very small. We also show how to write the two-loop minimization conditions so that Goldstone boson squared masses do not appear at all, and so that they can be solved without iteration.