Theoretical Constraints on Additional Higgs Bosons in Light of the 126 GeV Higgs

Abstract

We present a sum rule for Higgs fields in general representations under $SU(2{)}_L\times U(1{)}_Y$ that follows from the connection between the Higgs couplings and the mechanism that gives the electroweak bosons their masses, and at the same time restricts these couplings. Sum rules that follow from perturbative unitarity will require us to include singly and doubly charged Higgses in our analysis. We examine the consequences of these sum rules for Higgs phenomenology in both model independent and model specific ways. The relation between our sum rules and other works, based on dispersion relations, is also clarified.

53 pages, 17 figures. Version 3: expanded references, matched JHEP version

References in corpus (16)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Parton distributions for the LHC
• FeynRules - Feynman rules made easy
• Measurement of the properties of a Higgs boson in the four-lepton final state
• The oblique parameters in multi-Higgs-doublet models
• Measurement of Higgs boson production and properties in the WW decay channel with leptonic final states
• A search for a doubly-charged Higgs boson in pp collisions at sqrt(s) = 7 TeV
• Search for new physics in events with same-sign dileptons and jets in pp collisions at sqrt(s) = 8 TeV
• Search for new physics in events with same-sign dileptons and b-tagged jets in pp collisions at sqrt(s) = 7 TeV
• Falsifying Models of New Physics Via WW Scattering
• Electroweak Symmetry Breaking and the Higgs Boson: Confronting Theories at Colliders
• LHC bounds on Lepton Number Violation mediated by doubly and singly-charged scalars
• Search for pair production of doubly-charged Higgs bosons in the H^{++}H^{--}^ to mu^+mu^+mu^-mu^- final state at D0
• A New Avenue to Charged Higgs Discovery in Multi-Higgs Models
• Higgs couplings and electroweak observables: a comparison of precision tests

Cited by in corpus (22)

• Dimension-8 Operators in the Standard Model Effective Field Theory
• Symmetries, Sum Rules and Constraints on Effective Field Theories
• Vector Leptoquarks and the 750 GeV Diphoton Resonance at the LHC
• Limitations and Opportunities of Off-Shell Coupling Measurements
• Strong tW Scattering at the LHC
• All the generalized Georgi-Machacek models
• Multi-Higgs doublet models: physical parametrization, sum rules and unitarity bounds
• One-Loop Corrections to the Perturbative Unitarity Bounds in the $CP$-Conserving Two-Higgs Doublet Model with a Softly Broken ${\mathbb{Z}}_2$ Symmetry
• Searches of exotic Higgs bosons in general mass spectra of the Georgi-Machacek model at the LHC
• Exploring the Doubly Charged Higgs of the Left-Right Symmetric Model using Vector Boson Fusion-like Events at the LHC
• Probing the $\mu \nu$SSM with light scalars, pseudoscalars and neutralinos from the decay of a SM-like Higgs boson at the LHC
• Survey of Higgs interpretations of the diboson excesses
• Surveying the Scope of the SU(2)_L Scalar Septet Sector
• Hiding a Higgs width enhancement from off-shell gg (--> h*) --> ZZ measurements
• The breaking of the $SU(2{)}_L\times U(1{)}_Y$ symmetry: The 750 GeV resonance at the LHC and perturbative unitarity
• Multi-Higgs doublet models: the Higgs-fermion couplings and their sum rules
• Class Imbalance Techniques for High Energy Physics
• The Z Penguin in Generic Extensions of the Standard Model
• Same-sign W pair production in composite Higgs models
• Constraining the scalar septet model through vector boson scattering
• Tree-level Unitarity in SU(2)${}_L\times$U(1)${}_Y\times$U(1)${}_{Y^{\prime }}$ Models
• Does unitarity imply finiteness of electroweak oblique corrections at one-loop? - constraining extra neutral Higgs bosons -