Matching HEFT and SMEFT in double and triple Higgs production from weak boson fusion

TL;DR

This paper establishes a direct amplitude-based matching between SMEFT and HEFT for double and triple Higgs production via weak boson fusion, providing analytical relations and phenomenological insights for collider physics.

Contribution

It introduces an amplitude-based matching method between SMEFT and HEFT for Higgs production processes, offering analytical relations and phenomenological implications.

Findings

Analytical relations between SMEFT and HEFT coefficients for specific processes.

Insights into collider phenomenology of Higgs production from the matching.

Comparison of amplitude-based matching with traditional Lagrangian approaches.

Abstract

In this work we study the matching between the two most popular effective field theories for beyond standard model Higgs physics, SMEFT and HEFT. To perform this matching we follow the approach of identifying the corresponding scattering amplitudes for physical processes in both theories, instead of the most usual approach of relating the corresponding effective Lagrangians or effective actions. In this work we focus on the physical processes of double and triple Higgs production from weak boson fusion, in particular, $WW \to HH$, $ZZ \to HH$, $WW \to HHH$ and $ZZ \to HHH$ and complement them with the elastic scattering $HH \to HH$. We present here the analytical solution to this matching in terms of relations among the coefficients in both theories and comment on the most relevant phenomenological implications of such relations for collider physics.