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

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:

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

Publication Date:: Mon Jul 11 00:00:00 EDT 2016

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

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

OSTI Identifier:: 1336069

Alternate Identifier(s):: OSTI ID: 1261228

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:: 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.

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                    DeGrand, Thomas, Golterman, Maarten, Neil, Ethan T., & Shamir, Yigal. One-loop chiral perturbation theory with two fermion representations.  United States.  https://doi.org/10.1103/PhysRevD.94.025020

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                    DeGrand, Thomas, Golterman, Maarten, Neil, Ethan T., and Shamir, Yigal. Mon .  
"One-loop chiral perturbation theory with two fermion representations".  United States.  https://doi.org/10.1103/PhysRevD.94.025020.  https://www.osti.gov/servlets/purl/1336069.

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@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         = {Mon Jul 11 00:00:00 EDT 2016},

  month        = {Mon Jul 11 00:00:00 EDT 2016}

}

Copy to clipboard

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Works referencing / citing this record:

Partial compositeness and baryon matrix elements on the lattice
journal, May 2019

Ayyar, Venkitesh; DeGrand, Thomas; Hackett, Daniel C.
Physical Review D, Vol. 99, Issue 9
DOI: 10.1103/physrevd.99.094502

Light Scalars in Composite Higgs Models
journal, March 2019

Cacciapaglia, Giacomo; Ferretti, Gabriele; Flacke, Thomas
Frontiers in Physics, Vol. 7
DOI: 10.3389/fphy.2019.00022

Effective potential in ultraviolet completions for composite Higgs models
text, January 2017

Golterman, Maarten; Shamir, Yigal
arXiv
DOI: 10.48550/arxiv.1707.06033

Classification of NLO operators for composite Higgs models
text, January 2018

Alanne, T.; Bizot, N.; Cacciapaglia, G.
arXiv
DOI: 10.48550/arxiv.1801.05444

Partial compositeness and baryon matrix elements on the lattice
text, January 2018

Ayyar, Venkitesh; DeGrand, Thomas; Hackett, Daniel C.
arXiv
DOI: 10.48550/arxiv.1812.02727

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

Abstract

Citation Formats

Dynamical Symmetry Breaking, Axion Dynamics and Instanton-Induced Second-Class τ-Decays journal, December 1987

Cosmological Constraints on New Stable Hadrons journal, April 1979

Composite axion models and Planck scale physics journal, June 1992

Two-point functions and S-parameter in QCD-like theories journal, January 2012

Exotic new quarks and dynamical symmetry breaking journal, April 1980

Six-jet signals of highly colored fermions journal, March 1991

Light quarks at low temperatures journal, January 1987

Dynamical Electroweak Symmetry Breaking with Color-Sextet Quarks journal, January 1991

QCD-like theories at finite baryon density journal, August 2000

Quarks with charm and colour: A new model of their strong and weak interactions journal, September 1975

Is weak interaction symmetry broken by ordinary colour forces? journal, February 1983

Composite Higgses journal, May 2014

QCD with two colors at finite baryon density at next-to-leading order journal, January 2002

750 GeV composite axion as the LHC diphoton resonance journal, April 2016

Technicolor and other QCD-like theories at next-to-next-to-leading order journal, November 2009

Chiral perturbation theory: Expansions in the mass of the strange quark journal, January 1985

Pair production of exotic particles at $$\mathop p\limits^{( - )} $$ p colliding beams journal, June 1987

Is the ϒ a Bound State of Exotic Quarks? journal, July 1978

Raising the axion mass journal, December 1982

Sextet quarks and light pseudoscalars journal, September 1986

Grand unification and heavy axion journal, April 1997

UV completions of partial compositeness: the case for a SU(4) gauge group journal, June 2014

Top quark induced effective potential in a composite Higgs model journal, May 2015

Singlets in composite Higgs models in light of the LHC 750 GeV diphoton excess journal, July 2016

A quixotic interpretation of the upsilon particle journal, November 1979

The alignment of the vacuum in theories of technicolor journal, November 1980

Chiral perturbation theory to one loop journal, November 1984

Phenomenology of high colour fermions journal, April 1986

Tumbling gauge theories journal, July 1980

Phenomenological Lagrangians journal, April 1979

Isoscalar meson spectroscopy from lattice QCD journal, June 2011

Deconfinement versus chiral symmetry and higher representation matter journal, May 2012

Creeping up on condensed quixes. A new test of color-mediated electroweak symmetry breaking journal, April 1991

Meson-meson scattering in QCD-like theories journal, March 2011

Classification of new particles journal, November 1976

Possible new species of quarks and hadrons journal, August 1977

Flavor at ssc energies: A new mechanism for dynamically generated fermion masses journal, November 1991

UV descriptions of composite Higgs models without elementary scalars journal, February 2014

Composite invisible axion journal, April 1985

Lattice tests of beyond standard model dynamics journal, January 2016

Multi-jet physics at hadron colliders journal, September 1991

Gauge theories of partial compositeness: scenarios for Run-II of the LHC journal, June 2016

Infrared Anomalous Interactions as a Signal for Electroweak Symmetry Breaking by Color Sextet Quarks journal, October 1986

Fermionic UV completions of composite Higgs models journal, March 2014

Meson-meson Scattering in QCD-like Theories text, January 2011

Two-Point Functions and S-Parameter in QCD-like Theories text, January 2011

UV descriptions of composite Higgs models without elementary scalars text, January 2013

UV Completions of Partial Compositeness: The Case for a SU(4) Gauge Group text, January 2014

Top quark induced effective potential in a composite Higgs model text, January 2015

750 GeV Composite Axion as the LHC Diphoton Resonance text, January 2016

Gauge theories of Partial Compositeness: Scenarios for Run-II of the LHC text, January 2016

QCD-like Theories at Finite Baryon Density text, January 2000

Grand unification and heavy axion text, January 1997

Partial compositeness and baryon matrix elements on the lattice journal, May 2019

Light Scalars in Composite Higgs Models journal, March 2019

Effective potential in ultraviolet completions for composite Higgs models text, January 2017

Classification of NLO operators for composite Higgs models text, January 2018

Partial compositeness and baryon matrix elements on the lattice text, January 2018

Dynamical Symmetry Breaking, Axion Dynamics and Instanton-Induced Second-Class τ-Decays
journal, December 1987

Cosmological Constraints on New Stable Hadrons
journal, April 1979

Composite axion models and Planck scale physics
journal, June 1992

Two-point functions and S-parameter in QCD-like theories
journal, January 2012

Exotic new quarks and dynamical symmetry breaking
journal, April 1980

Six-jet signals of highly colored fermions
journal, March 1991

Light quarks at low temperatures
journal, January 1987

Dynamical Electroweak Symmetry Breaking with Color-Sextet Quarks
journal, January 1991

QCD-like theories at finite baryon density
journal, August 2000

Quarks with charm and colour: A new model of their strong and weak interactions
journal, September 1975

Is weak interaction symmetry broken by ordinary colour forces?
journal, February 1983

Composite Higgses
journal, May 2014

QCD with two colors at finite baryon density at next-to-leading order
journal, January 2002

750 GeV composite axion as the LHC diphoton resonance
journal, April 2016

Technicolor and other QCD-like theories at next-to-next-to-leading order
journal, November 2009

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

Pair production of exotic particles at $$\mathop p\limits^{( - )} $$ p colliding beams
journal, June 1987

Is the $ϒ$ a Bound State of Exotic Quarks?
journal, July 1978

Raising the axion mass
journal, December 1982

Sextet quarks and light pseudoscalars
journal, September 1986

Grand unification and heavy axion
journal, April 1997

UV completions of partial compositeness: the case for a SU(4) gauge group
journal, June 2014

Top quark induced effective potential in a composite Higgs model
journal, May 2015

Singlets in composite Higgs models in light of the LHC 750 GeV diphoton excess
journal, July 2016

A quixotic interpretation of the upsilon particle
journal, November 1979

The alignment of the vacuum in theories of technicolor
journal, November 1980

Chiral perturbation theory to one loop
journal, November 1984

Phenomenology of high colour fermions
journal, April 1986

Tumbling gauge theories
journal, July 1980

Phenomenological Lagrangians
journal, April 1979

Isoscalar meson spectroscopy from lattice QCD
journal, June 2011

Deconfinement versus chiral symmetry and higher representation matter
journal, May 2012

Creeping up on condensed quixes. A new test of color-mediated electroweak symmetry breaking
journal, April 1991

Meson-meson scattering in QCD-like theories
journal, March 2011

Classification of new particles
journal, November 1976

Possible new species of quarks and hadrons
journal, August 1977

Flavor at ssc energies: A new mechanism for dynamically generated fermion masses
journal, November 1991

UV descriptions of composite Higgs models without elementary scalars
journal, February 2014

Composite invisible axion
journal, April 1985

Lattice tests of beyond standard model dynamics
journal, January 2016

Multi-jet physics at hadron colliders
journal, September 1991

Gauge theories of partial compositeness: scenarios for Run-II of the LHC
journal, June 2016

Infrared Anomalous Interactions as a Signal for Electroweak Symmetry Breaking by Color Sextet Quarks
journal, October 1986

Fermionic UV completions of composite Higgs models
journal, March 2014

Meson-meson Scattering in QCD-like Theories
text, January 2011

Two-Point Functions and S-Parameter in QCD-like Theories
text, January 2011

UV descriptions of composite Higgs models without elementary scalars
text, January 2013

UV Completions of Partial Compositeness: The Case for a SU(4) Gauge Group
text, January 2014

Top quark induced effective potential in a composite Higgs model
text, January 2015

750 GeV Composite Axion as the LHC Diphoton Resonance
text, January 2016

Gauge theories of Partial Compositeness: Scenarios for Run-II of the LHC
text, January 2016

QCD-like Theories at Finite Baryon Density
text, January 2000

Grand unification and heavy axion
text, January 1997

Partial compositeness and baryon matrix elements on the lattice
journal, May 2019

Light Scalars in Composite Higgs Models
journal, March 2019

Effective potential in ultraviolet completions for composite Higgs models
text, January 2017

Classification of NLO operators for composite Higgs models
text, January 2018

Partial compositeness and baryon matrix elements on the lattice
text, January 2018