Introducing tools to test Higgs interactions via $WW$ scattering I: one-loop calculations and renormalization in the HEFT

Abstract

Effective field theories are useful tools to search for physics beyond the Standard Model (SM). However, effective theories can lead to non-unitary behavior with fastly growing amplitudes. This unphysical behavior may lead to large sensitivity to SM deviations, making necessary a unitarization of the amplitudes prior to a comparison with experiment. In the present work, we focus on all the processes entering the two-Higgs production by longitudinal $WW$ scattering: we perform a full one-loop calculation of all relevant processes, we determine the necessary counterterms in the on-shell scheme, and we study how the full inclusion of the gauge degrees of freedom modifies the previously computed masses and widths of the dynamical resonances arising from the unitarization process in the vector-isovector channel. Altogether, we are able to provide the technical tools that are needed to study the low-energy couplings in the Higgs effective theory under the requirements of unitarity and causality.

References in corpus (11)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• p p -> j j e+/- mu+/- nu nu and j j e+/- mu-/+ nu nu at O(α_{em}^6) and O(α_{em}^4 α_s^2) for the Study of the Quartic Electroweak Gauge Boson Vertex at LHC
• Search for nonresonant Higgs boson pair production in final states with two bottom quarks and two photons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Measurement of electroweak WZ boson production and search for new physics in WZ $+$ two jets events in pp collisions at $\sqrt{s}=$ 13 TeV
• Longitudinal WW scattering in light of the "Higgs" discovery
• On the renormalization of the electroweak chiral Lagrangian with a Higgs
• Unitarity, analyticity, dispersion relations and resonances in strongly interacting $W_L{W}_L$, $Z_L{Z}_L$ and $hh$ scattering
• Search for anomalous electroweak production of $WW/WZ$ in association with a high-mass dijet system in $pp$ collisions at $\sqrt{s}=8$ TeV with the ATLAS detector
• One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges
• Production of vector resonances at the LHC via WZ-scattering: a unitarized EChL analysis

Cited by in corpus (6)

• One-loop corrections for WW to HH in HEFT with the electroweak chiral Lagrangian
• Double Higgs production at TeV $e^{+}{e}^{-}$ colliders with Effective Field Theories: sensitivity to BSM Higgs couplings
• BSM patterns in scalar-sector coupling modifiers
• Exploring correlations between HEFT Higgs couplings ${\kappa }_V$ and ${\kappa }_{2V}$ via HH production at $e^{+}{e}^{-}$ colliders
• Introducing tools to test Higgs interactions via $WW$ scattering II: the coupled channel formalism and scalar resonances
• Non-metricity signatures on the Higgs boson signal strengths at the LHC