Oneloop 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 NambuGoldstone boson when spontaneously broken. We calculate the nexttoleading order corrections for the pseudoscalar masses and decay constants, which include the singlet NambuGoldstone boson, as well as for the two condensates. The results can be generalized to more than two representations.
 Authors:
 Univ. of Colorado, Boulder, CO (United States). Department of Physics
 San Francisco State Univ., CA (United States). Department of Physics and Astronomy
 Univ. of Colorado, Boulder, CO (United States). Department of Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKENBNL Research Center
 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) (SC25)
 OSTI Identifier:
 1336069
 Report Number(s):
 BNL1124432016JA
Journal ID: ISSN 24700010; R&D Project: PO3
 Grant/Contract Number:
 SC0012704; SC0010005; FG0392ER40711
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 94; Journal Issue: 2; Journal ID: ISSN 24700010
 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. Oneloop 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. Oneloop 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.
"Oneloop 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 = {Oneloop 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 NambuGoldstone boson when spontaneously broken. We calculate the nexttoleading order corrections for the pseudoscalar masses and decay constants, which include the singlet NambuGoldstone 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
}
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