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Title: One-loop chiral perturbation theory with two fermion representations

Abstract

In this study, we develop chiral perturbation theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a nonanomalous 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.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Colorado, Boulder, CO (United States). Department of Physics
  2. San Francisco State Univ., CA (United States). Department of Physics and Astronomy
  3. Univ. of Colorado, Boulder, CO (United States). Department of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center
  4. Tel Aviv Univ., Ramat Aviv (Israel). Raymond and Beverly Sackler School of Physics and Astronomy
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1336069
Report Number(s):
BNL-112443-2016-JA
Journal ID: ISSN 2470-0010; R&D Project: PO-3
Grant/Contract Number:
SC0012704; SC0010005; FG03-92ER40711
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 2; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center

Citation Formats

DeGrand, Thomas, Golterman, Maarten, Neil, Ethan T., and Shamir, Yigal. One-loop chiral perturbation theory with two fermion representations. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.025020.
DeGrand, Thomas, Golterman, Maarten, Neil, Ethan T., & Shamir, Yigal. One-loop chiral perturbation theory with two fermion representations. United States. doi:10.1103/PhysRevD.94.025020.
DeGrand, Thomas, Golterman, Maarten, Neil, Ethan T., and Shamir, Yigal. 2016. "One-loop chiral perturbation theory with two fermion representations". United States. doi:10.1103/PhysRevD.94.025020. https://www.osti.gov/servlets/purl/1336069.
@article{osti_1336069,
title = {One-loop chiral perturbation theory with two fermion representations},
author = {DeGrand, Thomas and Golterman, Maarten and Neil, Ethan T. and Shamir, Yigal},
abstractNote = {In this study, we develop chiral perturbation theory for chirally broken theories with fermions in two different representations of the gauge group. Any such theory has a nonanomalous 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.},
doi = {10.1103/PhysRevD.94.025020},
journal = {Physical Review D},
number = 2,
volume = 94,
place = {United States},
year = 2016,
month = 7
}

Journal Article:
Free Publicly Available Full Text
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