The light CP-even MSSM Higgs mass including N$^3$LO+N$^3$LL QCD corrections

TL;DR

This paper calculates the mass of the light CP-even Higgs boson in the MSSM using advanced three-loop QCD corrections and resummation techniques, providing a comprehensive and accurate prediction across various SUSY scales.

Contribution

It combines EFT and fixed-order methods with three-loop QCD corrections and resummation up to fourth order, offering a novel hybrid approach for Higgs mass prediction in MSSM.

Findings

Enhanced accuracy in Higgs mass prediction across SUSY scales

Quantitative comparison of EFT and fixed-order validity ranges

Implementation of third-order QCD corrections and resummation techniques

Abstract

We present a calculation of the light neutral CP-even Higgs boson pole mass in the real MSSM which combines state-of-the-art EFT and fixed-order results, including the three-loop fixed-order QCD corrections as well as the resummation of logarithmic terms in the ratio of the weak to the SUSY scale up to fourth logarithmic order. This hybrid calculation should be valid for arbitrary SUSY scales above the weak scale. Comparison to the pure fixed-order and EFT results provides an estimate of their individual validity range.