Higgs Mass Predictions in the CP-Violating High-Scale NMSSM

TL;DR

This paper predicts the SM-like Higgs mass in a CP-violating high-scale NMSSM using effective field theory, including one-loop matching and uncertainty analysis, implemented in NMSSMCALC.

Contribution

It introduces a comprehensive one-loop matching approach for Higgs mass prediction in CP-violating NMSSM and compares methods to estimate suppressed terms.

Findings

Matching conditions at full one-loop order are calculated using two approaches.

Comparison of methods estimates the size of neglected suppressed terms.

Uncertainty sources and CP-violating phase effects on the Higgs mass are analyzed.

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.