The light CP-even MSSM Higgs mass resummed to fourth logarithmic order

TL;DR

This paper calculates the mass of the light CP-even Higgs in the MSSM with a heavy SUSY spectrum, achieving fourth logarithmic order resummation and providing an updated computational tool.

Contribution

It introduces a fourth-order resummation of the Higgs mass in the MSSM and derives a new three-loop matching coefficient for improved precision.

Findings

Higher-order resummation impacts Higgs mass predictions.

The updated Himalaya program includes the new matching coefficient.

Theoretical uncertainties are analyzed and discussed.

Abstract

We present the calculation of the light neutral CP-even Higgs mass in the MSSM for a heavy SUSY spectrum by resumming enhanced terms through fourth logarithmic order (N$^3$LL), keeping terms of leading order in the top Yukawa coupling $\alpha_t$, and NNLO in the strong coupling $\alpha_s$. To this goal, the three-loop matching coefficient for the quartic Higgs coupling of the SM to the MSSM is derived to order $\alpha_t^2\alpha_s^2$ by comparing the perturbative EFT to the fixed-order expression for the Higgs mass. The new matching coefficient is made available through an updated version of the program Himalaya. Numerical effects of the higher-order resummation are studied using specific examples, and sources of theoretical uncertainty on this result are discussed.