Higgs mass predictions in the CP-violating high-scale NMSSM

Christoph Borschensky; Thi Nhung Dao; Martin Gabelmann; Margarete Mühlleitner; Heidi Rzehak

doi:10.1140/epjc/s10052-024-13723-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 168
https://doi.org/10.1140/epjc/s10052-024-13723-4

Regular Article - Theoretical Physics

Higgs mass predictions in the CP-violating high-scale NMSSM

Christoph Borschensky¹, Thi Nhung Dao²^a, Martin Gabelmann³, Margarete Mühlleitner¹ and Heidi Rzehak⁴

¹ Institute for Theoretical Physics, Karlsruhe Institute of Technology, Wolfgang-Gaede-Str. 1, 76131, Karlsruhe, Germany
² Phenikaa Institute for Advanced Study, PHENIKAA University, 12116, Hanoi, Vietnam
³ Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607, Hamburg, Germany
⁴ Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104, Freiburg, Germany

^a nhung.daothi@phenikaa-uni.edu.vn

Received: 10 July 2024
Accepted: 20 December 2024
Published online: 10 February 2025

Abstract

In a supersymmetric theory, large mass hierarchies can lead to large uncertainties in fixed-order calculations of the Standard Model (SM)-like Higgs mass. A reliable prediction is then obtained by performing the calculation in an effective field theory (EFT) framework, involving a matching to the full supersymmetric theory at the high scale to include contributions from the heavy particles, and a subsequent renormalisation-group running down to the low scale. We report on the prediction of the SM-like Higgs mass within the CP-violating next-to-minimal supersymmetric extension of the SM (NMSSM) in a scenario where all non-SM particles feature TeV-scale masses. The matching conditions are calculated at full one-loop order using two approaches. These are the matching of the quartic Higgs couplings as well as of the SM-like Higgs pole masses of the low- and high-scale theory. A comparison between the two methods allows us to estimate the size of terms suppressed by the heavy mass scale that are neglected in a pure EFT calculation as given by the quartic-coupling matching. Furthermore, we study the different sources of uncertainty which enter our calculation as well as the effect of CP-violating phases on the Higgs mass prediction. The matching calculation is implemented in a new version of the public program package $NMSSMCALC$ $\texttt {NMSSMCALC}$ .

© The Author(s) 2025

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