English

One-loop Chiral Perturbation Theory with two fermion representations

High Energy Physics - Phenomenology 2016-07-13 v2 High Energy Physics - Lattice

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)AU(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.

Keywords

Cite

@article{arxiv.1605.07738,
  title  = {One-loop Chiral Perturbation Theory with two fermion representations},
  author = {Thomas DeGrand and Maarten Golterman and Ethan T. Neil and Yigal Shamir},
  journal= {arXiv preprint arXiv:1605.07738},
  year   = {2016}
}

Comments

RevTex, 21 pages. v2: minor changes, added publication info

R2 v1 2026-06-22T14:08:57.550Z