Bosonic Thermal Masses in Supersymmetry
D. Comelli, J. R. Espinosa
TL;DR
This work derives leading-order bosonic thermal masses for general softly-broken supersymmetric theories at finite temperature, clarifying how Debye-type corrections and Boltzmann decoupling affect the masses. It develops a two-tier framework: in the high-temperature limit $T \gg M$ the results are compact and depend only on gauge charges and Yukawa couplings, while for general $T$ it includes decoupling and mixing through theta functions and mass-basis rotations. The MSSM is then treated explicitly, with full expressions for scalar, fermion, and gauge sectors, including Higgs mixing between $H$ and $\Phi$ and the heavy Higgs $m_A$, as well as detailed $\Delta$-terms from soft-breaking parameters. These results provide a practical, perturbative basis for Daisy resummation and finite-temperature analyses of SUSY plasmas and electroweak phase transition dynamics.
Abstract
Effective thermal masses of bosonic particles in a plasma play an important role in many different phenomena. We compute them in general supersymmetric models at leading order. The origin of different corrections is explicitly shown for the formulas to be applicable when some particles decouple. The correct treatment of Boltzmann decoupling in the presence of trilinear couplings and mass mixing is also discussed. As a relevant example, we present results for the Minimal Supersymmetric Standard Model.