Weak bosons as partons below 10 TeV partonic center-of-momentum

Abstract

We investigate the modeling of weak boson number densities for leptons and hadrons in practical calculations in the Standard Model. In the framework of the Effective $W$ Approximation (EWA) and in the $R_{\xi }$ and axial gauges, we derive the unrenormalized, tree-level parton number densities for weak bosons from massless fermions at next-to-leading power in the collinear expansion. Corrections exhibit various pathologies and properties, including those conjectured but not proven, and parallel heavy quark factorization. We suppress pathologies through a new set of kinematical consistency conditions. When satisfied, shapes and normalizations of full matrix elements for many-leg processes can be well approximated by the EWA and fragmentation contributions at leading power, suggesting the onset of tree-level factorization. Findings also suggest that the EWA is testable at the LHC with $\mathcal{L}=450$ fb${}^{-1}$ of same-sign $WW$ scattering data at $\sqrt{s}=13.6$ TeV.

11 pages, 5 figures Matches version accepted for publication in PRD

References in corpus (18)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• How bright is the proton? A precise determination of the photon parton distribution function
• The Photon Content of the Proton
• Vector boson fusion at multi-TeV muon colliders
• Electroweak Sudakov Corrections using Effective Field Theory
• The Effective Vector Boson Approximation in High-Energy Muon Collisions
• Top-Quark Initiated Processes at High-Energy Hadron Colliders
• Non-cancellation of electroweak logarithms in high-energy scattering
• Majorana Neutrinos in Same-Sign $W^{\pm }{W}^{\pm }$ Scattering at the LHC: Breaking the TeV Barrier
• Isolating Vector Boson Scattering at the LHC: gauge cancellations and the Equivalent Vector Boson Approximation vs complete calculations
• Vector Boson Scattering Processes: Status and Prospects
• A Redux on "When is the Top Quark a Parton?"
• NLO Electroweak Corrections to Multi-Boson Processes at a Muon Collider
• A sensitivity study of VBS and diboson WW to dimension-6 EFT operators at the LHC
• Polarized WW Scattering on the Higgs Pole
• Measurement and interpretation of same-sign $W$ boson pair production in association with two jets in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Like-Sign W-Boson Scattering at the LHC -- Approximations and Full Next-to-Leading-Order Predictions
• EW corrections and Heavy Boson Radiation at a high-energy muon collider