Dimension-six operators in Higgs pair production via vector-boson fusion at the LHC

TL;DR

This paper investigates how dimension-six operators affect Higgs pair production via vector-boson fusion at the LHC, revealing significant changes in kinematic distributions and providing limits on operator coefficients.

Contribution

It analyzes the impact of specific dimension-six operators on Higgs pair production and proposes methods to distinguish their effects at the LHC.

Findings

Distributions of Higgs pair invariant mass, transverse momentum, and rapidity are significantly affected.

Operators $ ext{O}_{ ext{Phi,2}}$ and $ ext{O}_{ ext{Phi,3}}$ influence the triple Higgs self-coupling.

Provides discovery and exclusion limits for operator coefficients at 14 TeV LHC.

Abstract

The effective Lagrangian formalism provides a way to study the new physics effects at the electroweak scale. We study the Higgs pair production via the vector-boson fusion (VBF) at the Large Hadron Collider within the framework of the effective field theory. The effects from the dimension-six operators involved in the VBF Higgs pair production, particularly $\mathcal{O}_{\Phi,2}$ and $\mathcal{O}_{\Phi,3}$ which are relevant to the triple Higgs self-coupling, on the integrated cross section and various kinematic distributions are investigated. We find that the distributions of Higgs pair invariant mass, Higgs transverse momentum and rapidity are significantly altered by the operators $\mathcal{O}_{\Phi,2}$ and $\mathcal{O}_{\Phi,3}$. These features are helpful in disentangling the contributions from the operators $\mathcal{O}_{\Phi,2}$ and $\mathcal{O}_{\Phi,3}$ in triple Higgs self-coupling. We also provide the 5$\sigma$ discovery and 3$\sigma$ exclusion limits for the coefficients of $\mathcal{O}_{\Phi,2}$ and $\mathcal{O}_{\Phi,3}$ by measuring the VBF Higgs pair production process including the sequential $H \rightarrow b\bar{b}$ decays at the $14~ {\rm TeV}$ LHC.