Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation

Abstract

We present an improved calculation of the light CP-even Higgs boson pole mass in the MSSM based on the FlexibleEFTHiggs hybrid method. The calculation resums large logarithms to all orders and includes power-suppressed terms at fixed order. It uses state-of-the-art 2- and 3-loop matching of the quartic Higgs coupling and renormalization group running up to 4-loop, resulting in a resummation of large logarithmic corrections up to N${}^3$LL level. A conceptually novel ingredient is the expansion of the matching conditions in terms of high-scale MSSM parameters instead of SM parameters. In this way leading terms in the stop-mixing parameter are effectively resummed, leading to an improved numerical convergence of the perturbative expansion. Furthermore, the avoidance of double counting of loop corrections is more transparent than in other approaches and more independent of the high-scale model. We present numerical results and a detailed discussion of theoretical uncertainties for standard benchmark scenarios.

65 pages, 10 figures, includes addendum arXiv:2307.15566

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Cited by in corpus (16)

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• High Precision Calculations of the Higgs Boson Mass
• Two-loop matching of renormalizable operators: general considerations and applications
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• The light MSSM Higgs boson mass for large $\tan \beta$ and complex input parameters
• Higgs-mass constraints on a supersymmetric solution of the muon g-2 anomaly
• Hybrid calculation of the MSSM Higgs boson masses using the complex THDM as EFT
• Expectation management
• Higgs-mass prediction in the NMSSM with heavy BSM particles
• Resummation of terms enhanced by trilinear squark-Higgs couplings in the MSSM
• Curing tachyonic tree-level syndrome in NMSSM light-singlet scenarios
• Fighting off field dependence in MSSM Higgs-mass corrections of order ${\alpha }_t{\alpha }_s$ and ${\alpha }_t^2$
• Addendum: Improved MSSM Higgs mass calculation using the 3-loop FlexibleEFTHiggs approach including $x_t$-resummation