2015/10/31 by I. M. Hierro, Luca Merlo, L. Merlo +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #Effective field theory #Electroweak interaction #Gauge (firearms) #Goldstone boson #Higgs boson #Higgs sector #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Special unitary group #Spontaneous symmetry breaking #Standard Model (mathematical formulation) #Symmetry breaking #hep-ph
paper · pdf · doi:10.1007/jhep04(2016)016
20 pages. V2: new table II added; version published on JHEP. arXiv admin note: text overlap with arXiv:1409.1589
arxiv created 2016/04/01 · openalex publication_date 2016/04/01 · arxiv updated 2016/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In Alonso et al., JHEP 12 (2014) 034, the CP-even sector of the effective chiral Lagrangian for a generic composite Higgs model with a symmetric coset has been constructed, up to four momenta. In this paper, the CP-odd couplings are studied within the same context. If only the Standard Model bosonic sources of custodial symmetry breaking are considered, then at most six independent operators form a basis. One of them is the weak-θ term linked to non-perturbative sources of CP violation, while the others describe CP-odd perturbative couplings between the Standard Model gauge bosons and an Higgs-like scalar belonging to the Goldstone boson sector. The procedure is then applied to three distinct exemplifying frameworks: the original SU(5)/SO(5) Georgi-Kaplan model, the minimal custodial-preserving SO(5)/SO(4) model and the minimal SU(3)/(SU(2) × U(1)) model, which intrinsically breaks custodial symmetry. Moreover, the projection of the high-energy electroweak effective theory to the low-energy chiral effective Lagrangian for a dynamical Higgs is performed, uncovering strong relations between the operator coefficients and pinpointing the differences with the elementary Higgs scenario.