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- W2783644379 abstract "We provide a general classification of template operators, up to next-to-leading order, that appear in chiral perturbation theories based on the two flavor patterns of spontaneous symmetry breaking $mathrm{SU}({N}_{mathrm{F}})/mathrm{Sp}({N}_{mathrm{F}})$ and $mathrm{SU}({N}_{mathrm{F}})/mathrm{SO}({N}_{mathrm{F}})$. All possible explicit-breaking sources parametrized by spurions transforming in the fundamental and in the two-index representations of the flavor symmetry are included. While our general framework can be applied to any model of strong dynamics, we specialize to composite-Higgs models, where the main explicit breaking sources are a current mass, the gauging of flavor symmetries, and the Yukawa couplings (for the top). For the top, we consider both bilinear couplings and linear ones `a la partial compositeness. Our templates provide a basis for lattice calculations in specific models. As a special example, we consider the $mathrm{SU}(4)/mathrm{Sp}(4)ensuremath{cong}mathrm{SO}(6)/mathrm{SO}(5)$ pattern which corresponds to the minimal fundamental composite-Higgs model. We further revisit issues related to the misalignment of the vacuum. In particular, we shed light on the physical properties of the singlet $ensuremath{eta}$, showing that it cannot develop a vacuum expectation value without explicit $CP$ violation in the underlying theory." @default.
- W2783644379 created "2018-01-26" @default.
- W2783644379 creator A5008007095 @default.
- W2783644379 creator A5035846674 @default.
- W2783644379 creator A5036271638 @default.
- W2783644379 creator A5060320241 @default.
- W2783644379 date "2018-04-23" @default.
- W2783644379 modified "2023-10-18" @default.
- W2783644379 title "Classification of NLO operators for composite Higgs models" @default.
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- W2783644379 doi "https://doi.org/10.1103/physrevd.97.075028" @default.
- W2783644379 hasPublicationYear "2018" @default.
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