Higgs ultraviolet softening

Abstract

We analyze the leading effective operators which induce a quartic momentum dependence in the Higgs propagator, for a linear and for a non-linear realization of electroweak symmetry breaking. Their specific study is relevant for the understanding of the ultraviolet sensitivity to new physics. Two methods of analysis are applied, trading the Lagrangian coupling by: i) a "ghost" scalar, after the Lee-Wick procedure; ii) other effective operators via the equations of motion. The two paths are shown to lead to the same effective Lagrangian at first order in the operator coefficients. It follows a modification of the Higgs potential and of the fermionic couplings in the linear realization, while in the non-linear one anomalous quartic gauge couplings, Higgs-gauge couplings and gauge-fermion interactions are induced in addition. Finally, all LHC Higgs and other data presently available are used to constrain the operator coefficients; the future impact of $pp\to \text{4 leptons}$ data via off-shell Higgs exchange and of vector boson fusion data is considered as well. For completeness, a summary of pure-gauge and gauge-Higgs signals exclusive to non-linear dynamics at leading-order is included.

31 pages, 3 figures, 7 tables

References in corpus (26)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Dimension-Six Terms in the Standard Model Lagrangian
• Observation of a new boson with mass near 125 GeV in pp collisions at sqrt(s) = 7 and 8 TeV
• Measurements of Higgs boson production and couplings in diboson final states with the ATLAS detector at the LHC
• Complete Electroweak Chiral Lagrangian with a Light Higgs at NLO
• The Effective Chiral Lagrangian for a Light Dynamical "Higgs Particle"
• Model-Independent Bounds on a Light Higgs
• The Lee-Wick Standard Model
• A Higgs-Higgs bound state due to New Physics at a TeV
• Robust Determination of the Higgs Couplings: Power to the Data
• Bounding the Higgs width at the LHC using full analytic results for gg -> 2e 2μ
• Disentangling a dynamical Higgs
• First Glimpses at Higgs' face
• Limitations and Opportunities of Off-Shell Coupling Measurements
• Beyond Geolocating: Constraining Higher Dimensional Operators in $H\to 4\ell$ with Off-Shell Production and More
• Minimal Lee-Wick Extension of the Standard Model
• Searching for Lee-Wick Gauge Bosons at the LHC
• Flavour with a Light Dynamical "Higgs Particle"
• Electroweak Precision Data and the Lee-Wick Standard Model
• Electroweak precision constraints on the Lee-Wick Standard Model
• Flavor Changing Neutral Currents in the Lee-Wick Standard Model
• Unique Identification of Lee-Wick Gauge Bosons at Linear Colliders
• Constraints on the Lee-Wick Higgs Sector
• Ultraviolet Properties of the Higgs Sector in the Lee-Wick Standard Model
• Higgs Couplings after the Discovery
• LHC Constraints on the Lee-Wick Higgs Sector

Cited by in corpus (33)

• The Standard Model as an Effective Field Theory
• ALPs Effective Field Theory and Collider Signatures
• Geometry of the Scalar Sector
• Analysis of General Power Counting Rules in Effective Field Theory
• The complete HEFT Lagrangian after the LHC Run I
• Scheming in the SMEFT... and a reparameterization invariance!
• Unitarity Constraints on Dimension-Six Operators
• Unitarity Constraints on Anomalous Quartic Couplings
• Higgs Physics: It ain't over till it's over
• The Minimal Flavour Violating Axion
• The $\hat{H}$-Parameter: An Oblique Higgs View
• Sigma Decomposition
• Exotic Vector-Like Quark Phenomenology in the Minimal Linear $\sigma$ Model
• Revisiting Minimal Lepton Flavour Violation in the Light of Leptonic CP Violation
• Distinguishing A Higgs-Like Dilaton Scenario With A Complete Bosonic Effective Field Theory Basis
• Non-linear Higgs portal to Dark Matter
• Baryon Non-Invariant Couplings in Higgs Effective Field Theory
• Sigma Decomposition: The CP-Odd Lagrangian
• On-shell interference effects in Higgs final states
• Jet Bundle Geometry of Scalar Field Theories
• Same-sign WW Scattering in the HEFT: Discoverability vs. EFT Validity
• Predictive Leptogenesis from Minimal Lepton Flavour Violation
• The Minimal Axion Minimal Linear $\sigma$ Model
• Effective Field Theory Perspective on Next-to-Minimal Composite Higgs
• Searching for BSM Physics in Yukawa Couplings and Flavour Symmetries
• Adding Pseudo-Observables to the Four-Lepton Experimentalist's Toolbox
• CP violation from spin-1 resonances in a left-right dynamical Higgs context
• Assessing (H)EFT theory errors by pitting EoM against Field Redefinitions
• Probing Effective Field Theory Approach in the CP Violating Minimal Linear $\sigma$ Model
• Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT
• One Formula To Match Them All: The Bispinor Universal One-Loop Effective Action
• Impact of fermionic operators on the Higgs width measurement
• Coupling of $t\bar{t}$ and $\gamma \gamma$ with a strongly interacting Electroweak Symmetry Breaking Sector