One-loop Chiral Perturbation Theory with two fermion representations

Abstract

We develop Chiral Perturbation Theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a non-anomalous singlet $U(1{)}_A$ symmetry, yielding an additional Nambu-Goldstone boson when spontaneously broken. We calculate the next-to-leading order corrections for the pseudoscalar masses and decay constants, which include the singlet Nambu-Goldstone boson, as well as for the two condensates. The results can be generalized to more than two representations.

arXiv commentRevTex, 21 pages. v2: minor changes, added publication info

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• Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models
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• Exotic decays of top partners: mind the search gap
• Effective potential in ultraviolet completions for composite Higgs models
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Glueballs and Strings in $Sp(2N)$ Yang-Mills theories
• Classification of NLO operators for composite Higgs models
• Hunting for top partner with a new signature at the LHC
• Towards top-down holographic composite Higgs: minimal coset from maximal supergravity
• Toward minimal composite Higgs models from regular geometries in bottom-up holography
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• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Pseudoscalar pair production via off-shell Higgs in composite Higgs models
• Stability Analysis of the Chiral Transition in SU(4) Gauge Theory with Fermions in Multiple Representations
• Phase ambiguity of the measure for continuum Majorana fermions
• Towards a composite Higgs and a partially composite top quark
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit