Electroweak Scattering at the Muon Shot

Abstract

It has long been recognized that the scattering of electroweak particles at very high energies is dominated by vector boson fusion, which probes the origin of electroweak symmetry breaking and offers a unique window into the ultraviolet regime of the SM. Previous studies assume SM-like couplings and rely on the effective $W$ approximation (or electroweak parton distribution), whose validity is well-established within the SM but not yet studied in the presence of anomalous Higgs couplings. In this work, we critically examine the electroweak production of two Higgs bosons in the presence of anomalous $VVh$ and $VVhh$ couplings. We compute the corresponding helicity amplitudes and compare the cross section results in the effective $W$ approximation with the full fixed-order calculation. In particular, we identify two distinct classes of anomalous Higgs couplings, whose effects are not captured by vector boson fusion and effective $W$ approximation. Such very high energy electroweak scatterings can be probed at the Muon Shot, a multi-TeV muon collider upon which we base our study, although similar considerations apply to other high energy colliders.

33 pages, 13 figures, 3 tables. Matches PRD published version

References in corpus (35)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Dimension-Six Terms in the Standard Model Lagrangian
• The Minimal Composite Higgs Model
• Electroweak symmetry breaking from dimensional deconstruction
• The Littlest Higgs
• The Strongly-Interacting Light Higgs
• The Minimal Moose for a Little Higgs
• Higgs as a Holographic Pseudo-Goldstone Boson
• The Composite Nambu-Goldstone Higgs
• Effective Lagrangian for a light Higgs-like scalar
• Composite Higgses
• Strong Double Higgs Production at the LHC
• Higgs windows to new physics through d = 6 operators: Constraints and one-loop anomalous dimensions
• UV descriptions of composite Higgs models without elementary scalars
• UV Completions of Partial Compositeness: The Case for a SU(4) Gauge Group
• Effects of genuine dimension-six Higgs operators
• High Energy Leptonic Collisions and Electroweak Parton Distribution Functions
• Vector boson fusion at multi-TeV muon colliders
• Fusing Vectors into Scalars at High Energy Lepton Colliders
• Electroweak Couplings of the Higgs Boson at a Multi-TeV Muon Collider
• Electroweak Splitting Functions and High Energy Showering
• Which EFT
• The Effective Vector Boson Approximation in High-Energy Muon Collisions
• Standard Model Parton Distributions at Very High Energies
• Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
• Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models
• Electroweak Evolution Equations
• Probing the Scattering of Equivalent Electroweak Bosons
• LePDF: Standard Model PDFs for High-Energy Lepton Colliders
• A Weakly Coupled Ultraviolet Completion of the Littlest Higgs with T-parity
• The Infrared Structure of Nambu-Goldstone Bosons
• A Minimally Symmetric Higgs Boson
• Multi-Higgs Production and Unitarity in Vector-Boson Fusion at Future Hadron Colliders
• Universal Imprints of a Pseudo-Nambu-Goldstone Higgs Boson
• Universal Relations in Composite Higgs Models

Cited by in corpus (5)

• EW corrections and Heavy Boson Radiation at a high-energy muon collider
• Lepton Flavor Violation: From Muon Decays to Muon Colliders
• Barr-Zee Diagrams at a High-Energy Muon Collider
• Probing Z/W Pole Physics at High-energy Muon Colliders via Vector-boson-fusion Processes
• Probing Higgs and Top Interactions through the Muon Lens at multi-TeV Muon Colliders