One-loop chiral perturbation theory with two fermion representations

DeGrand, Thomas; Golterman, Maarten; Neil, Ethan T.; Shamir, Yigal

doi:10.1103/PhysRevD.94.025020

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

Journal Article · Mon Jul 11 00:00:00 EDT 2016 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.94.025020· OSTI ID:1336069

DeGrand, Thomas ^[1]; Golterman, Maarten ^[2]; Neil, Ethan T. ^[3]; Shamir, Yigal ^[4]

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). RIKEN-BNL Research Center
Tel Aviv Univ., Ramat Aviv (Israel). Raymond and Beverly Sackler School of Physics and Astronomy

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.

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Research Organization:: Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012704; SC0010005; FG03-92ER40711

OSTI ID:: 1336069

Alternate ID(s):: OSTI ID: 1261228

Report Number(s):: BNL-112443-2016-JA; R&D Project: PO-3

Journal Information:: Physical Review D, Vol. 94, Issue 2; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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Partial compositeness and baryon matrix elements on the lattice Ayyar, Venkitesh; DeGrand, Thomas; Hackett, Daniel C. Physical Review D, Vol. 99, Issue 9 https://doi.org/10.1103/physrevd.99.094502	journal	May 2019
Light Scalars in Composite Higgs Models Cacciapaglia, Giacomo; Ferretti, Gabriele; Flacke, Thomas Frontiers in Physics, Vol. 7 https://doi.org/10.3389/fphy.2019.00022	journal	March 2019
Effective potential in ultraviolet completions for composite Higgs models Golterman, Maarten; Shamir, Yigal arXiv https://doi.org/10.48550/arxiv.1707.06033	text	January 2017
Classification of NLO operators for composite Higgs models Alanne, T.; Bizot, N.; Cacciapaglia, G. arXiv https://doi.org/10.48550/arxiv.1801.05444	text	January 2018
Partial compositeness and baryon matrix elements on the lattice Ayyar, Venkitesh; DeGrand, Thomas; Hackett, Daniel C. arXiv https://doi.org/10.48550/arxiv.1812.02727	text	January 2018

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