Universal Relations in Composite Higgs Models

Abstract

We initiate a phenomenological study of `universal relations' in composite Higgs models, which are dictated by nonlinear shift symmetries acting on the 125 GeV Higgs boson. These are relations among one Higgs couplings with two electroweak gauge bosons (HVV), two Higgses couplings with two electroweak gauge bosons (HHVV), one Higgs couplings with three electroweak gauge bosons (HVVV), as well as triple gauge boson couplings (TGC), which are all controlled by a single input parameter: the decay constant $f$ of the pseudo-Nambu-Goldstone Higgs boson. Assuming custodial invariance in strong sector, the relation is independent of the symmetry breaking pattern in the UV, for an arbitrary symmetric coset $G/H$. The complete list of corrections to HVV, HHVV, HVVV and TGC couplings in composite Higgs models is presented to all orders in $1/f$, and up to four-derivative level, without referring to a particular $G/H$. We then present several examples of universal relations in ratios of coefficients which could be extracted experimentally. Measuring the universal relation requires a precision sensitive to effects of dimension-8 operators in the effective Lagrangian and highlights the importance of verifying the tensor structure of HHVV interactions in the standard model, which remains untested to date.

31 pages, 6 figures

References in corpus (8)

• Effective Field Theories from Soft Limits
• A Periodic Table of Effective Field Theories
• Anomalous Triple Gauge Couplings in the Effective Field Theory Approach at the LHC
• On the impact of dimension-eight SMEFT operators on Higgs measurements
• Constraints on anomalous Higgs boson couplings using production and decay information in the four-lepton final state
• Beyond Geolocating: Constraining Higher Dimensional Operators in $H\to 4\ell$ with Off-Shell Production and More
• Probing the Higgs Couplings to Photons in $h\to 4\ell$ at the LHC
• A Minimally Symmetric Higgs Boson

Cited by in corpus (12)

• Electroweak Couplings of the Higgs Boson at a Multi-TeV Muon Collider
• Soft Bootstrap and Effective Field Theories
• Modelling vector-like quarks in partial compositeness framework
• Amplitude/Operator Basis in Chiral Perturbation Theory
• EFTs meet Higgs Nonlinearity, Compositeness and (Neutral) Naturalness
• Exploring the Landscape for Soft Theorems of Nonlinear Sigma Models
• Probing the Higgs boson through Yukawa force
• The Higgs program and open questions in particle physics and cosmology
• Partial compositeness under precision scrutiny
• Electroweak Scattering at the Muon Shot
• Composite Higgs revealed in Higgs pair photo-production at future colliders
• Discovering the $h\to Z\gamma$ Decay in $t\bar{t}$ Associated Production