A Minimally Symmetric Higgs Boson

Abstract

Models addressing the naturalness of a light Higgs boson typically employ symmetries, either bosonic or fermionic, to stabilize the Higgs mass. We consider a setup with the minimal amount of symmetries: four shift symmetries acting on the four components of the Higgs doublet, subject to the constraints of linearly realized SU(2)xU(1) electroweak symmetry. Up to terms that explicitly violate the shift symmetries, the effective lagrangian can be derived, irrespective of the spontaneously broken group G in the ultraviolet, and is universal in all models where the Higgs arises as a pseudo-Nambu-Goldstone boson (PNGB). Very high energy scatterings of vector bosons could provide smoking gun signals of a minimally symmetric Higgs boson.

arXiv comment17 pages, no figure; v2: minor changes; matched to the published version

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• New Flavor-Kinematics Dualities and Extensions of Nonlinear Sigma Models
• Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons
• Signature of Pseudo Nambu-Goldstone Higgs boson in its Decay
• Complete NNLO Operator Bases in Higgs Effective Field Theory
• Universal Imprints of a Pseudo-Nambu-Goldstone Higgs Boson
• Operator Counting and Soft Blocks in Chiral Perturbation Theory
• Universal Relations in Composite Higgs Models
• The Infrared Structure of Exceptional Scalar Theories
• Constructing on-shell operator basis for all masses and spins
• Constructing Generic Effective Field Theory for All Masses and Spins
• Amplitude/Operator Basis in Chiral Perturbation Theory
• Modification of Higgs Couplings in Minimal Composite Models
• Exploring the Landscape for Soft Theorems of Nonlinear Sigma Models
• Gravitational Waves From Dark Sectors, Oscillating Inflatons, and Mass Boosted Dark Matter
• Effective Field Theory Perspective on Next-to-Minimal Composite Higgs
• Electroweak Scattering at the Muon Shot
• Model Building with Non-Compact Cosets