One-loop renormalization of VBS with the electroweak chiral Lagrangian in covariant gauges

Abstract

This work presents a first full one-loop computation of vector boson scattering (VBS) within the non-linear effective field theory given by the bosonic sector of the usually called electroweak chiral Lagrangian (EChL). The computation is performed in the most general case of covariant $R_{\xi }$ gauges and is compared through all this work with the Standard Model case, whose computation in these covariant gauges is also novel and is presented also here. The calculation of the one-loop VBS amplitude is performed using the diagrammatic method by means of the one-particle-irreducible (1PI) Green functions that are involved in these scattering processes. The central part of this work is then devoted to the renormalization of all the n-legs one-loop 1PI Green functions involved. This renormalization is performed in the most general off-shell case with arbitrary external legs momenta. We then describe in full detail the renormalization program, which within this context of the EChL, implies to derive all the counterterms for both the electroweak parameters, like boson masses and gauge couplings, and those for the EChL coefficients. These later are crucial for the renormalization of the new divergences typically appearing when computing loops with the lowest chiral dimension Lagrangian. We present here the full list of involved divergences and counterterms in the $R_{\xi }$ gauges and derive the complete set of renormalization group equations for the EChL coefficients. In the last part of this work, we present the EChL numerical results for the one-loop cross section in the WZ channel and compare them with the SM results.

arXiv commentPublished version. 37 pages + 4 appendices, 13 figures, 5 tables

References in corpus (27)

• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Automatized One-Loop Calculations in 4 and D dimensions
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• FeynCalc 9.3: New features and improvements
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• The Standard Model as an Effective Field Theory
• Combined measurements of Higgs boson production and decay using up to $80$ fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}=$ 13 TeV collected with the ATLAS experiment
• Disentangling a dynamical Higgs
• The Electroweak Chiral Lagrangian for the Standard Model with a Heavy Higgs
• Large electroweak corrections to vector-boson scattering at the Large Hadron Collider
• Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
• One-loop $W_L{W}_L$ and $Z_L{Z}_L$ scattering from the Electroweak Chiral Lagrangian with a light Higgs-like scalar
• Search for anomalous electroweak production of vector boson pairs in association with two jets in proton-proton collisions at 13 TeV
• One-loop $\gamma \gamma \to W_L^{+}{W}_L^{-}$ and $\gamma \gamma \to Z_L{Z}_L$ from the Electroweak Chiral Lagrangian with a light Higgs-like scalar
• Non-decoupling effects of the Standard Model Higgs boson to one loop
• Radiative corrections to WL WL scattering in composite Higgs models
• On the renormalization of the electroweak chiral Lagrangian with a Higgs
• QCD and electroweak corrections to WZ scattering at the LHC
• 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 the electroweak chiral Lagrangian with a light Higgs
• Vector-Boson Scattering at the LHC: unravelling the Electroweak sector
• Unitarization effects in EFT predictions of WZ scattering at the LHC
• RENORMALIZATION and the EQUIVALENCE THEOREM: ON-SHELL SCHEME
• Production of vector resonances at the LHC via WZ-scattering: a unitarized EChL analysis
• Anatomy of Higgs decays into $\gamma \gamma$ and $\gamma Z$ within the EChL in the $R_{\xi }$ gauges
• Polarization observables in WZ production at the 13 TeV LHC: Inclusive case
• Higgs-Electroweak Chiral Lagrangian: One-Loop Renormalization Group Equations

Cited by in corpus (10)

• One-loop corrections for WW to HH in HEFT with the electroweak chiral Lagrangian
• Introducing tools to test Higgs interactions via $WW$ scattering I: one-loop calculations and renormalization in the HEFT
• Probing the Interactions of Axion-Like Particles with Electroweak Bosons and the Higgs Boson in the High Energy Regime at LHC
• On the BSM reach of four top production at the LHC
• 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
• HEFT approach to investigate the muon g-2 anomaly at a muon collider
• Tests of BSM Higgs interactions by the combination $({\kappa }_V^2-{\kappa }_{2V})$ in HHjj production at LHC