Two-loop corrections to the Higgs trilinear coupling in classically scale-invariant theories

TL;DR

This paper calculates two-loop corrections to the Higgs trilinear coupling in classically scale-invariant theories, refining predictions for deviations from the Standard Model and aiding in distinguishing different BSM scenarios.

Contribution

It provides the first explicit computation of two-loop effects on the Higgs trilinear coupling in CSI models, enhancing the understanding of their phenomenological implications.

Findings

Two-loop corrections significantly modify the predicted Higgs trilinear coupling deviation.

Inclusion of two-loop effects helps differentiate CSI scenarios despite Higgs mass constraints.

Constraints from Higgs mass and unitarity limit the possible deviations in the Higgs trilinear coupling.

Abstract

The Higgs trilinear coupling is a crucial tool to investigate the structure of the Higgs sector and the nature of the electroweak phase transition, and to search for indirect signs of New Physics. Classical scale invariance (CSI) is an attractive concept for BSM model building, explaining the apparent alignment of the Higgs sector and potentially relating to the hierarchy problem. A particularly interesting feature of CSI theories is that, at one loop, they universally predict the Higgs trilinear coupling to deviate by 67% from the SM prediction at tree level. This result is however modified at two loops, and we present here results from the first explicit computation of two-loop corrections to the Higgs trilinear coupling in classically scale-invariant BSM models. Taking as example a CSI variant of the Two-Higgs-Doublet Model, we show that the inclusion of two-loop effects allows distinguishing different scenarios with CSI, even though the requirement of correctly reproducing the mass of the Higgs boson, as well as unitarity, severely restrict the possible values of the Higgs trilinear coupling.