Resummation of Goldstone boson contributions to the MSSM effective potential

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.

28 pages. v2: references added

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• Avoiding the Goldstone Boson Catastrophe in general renormalisable field theories at two loops
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• Standard Model parameters in the tadpole-free pure $\overline{\mathrm{MS}}$ scheme
• Two-loop effective potential for generalized gauge fixing
• All two-loop scalar self-energies and tadpoles in general renormalisable field theories
• Resummation of Goldstone Infrared Divergences: A Proof to All Orders
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• External leg corrections as an origin of large logarithms