A new probe of the quartic Higgs self-coupling

TL;DR

This paper develops a new method to constrain the Higgs quartic self-coupling by calculating two-loop corrections to Higgs wave-function renormalization and analyzing their impact on precision measurements at future colliders.

Contribution

It provides analytic two-loop calculations of Higgs self-coupling modifications and derives novel constraints from precision Higgs measurements at colliders.

Findings

Derived two-dimensional constraints on Higgs self-interactions.

Compared constraints from precision measurements and multi-Higgs searches.

Reviewed current status of Higgs self-coupling determinations after LHC Run 2.

Abstract

We calculate the corrections to the Higgs wave-function renormalization constant arising from modified cubic, quartic, and quintic Higgs self-couplings up to the two-loop level. Using our analytic results, we derive two-dimensional constraints on the modifications of the considered Higgs self-interactions that could potentially be set from precision measurements of single-Higgs production processes at the high-luminosity Large Hadron Collider (LHC) and a Future Circular Collider. Our novel constraints are compared to those that might be set by searches for multi-Higgs production at the same facilities. In view of the first LHC results on triple-Higgs production, we also review the current status of Higgs self-coupling determinations after LHC Run 2.