The running coupling of the minimal sextet composite Higgs model

Fodor, Zoltan; Holland, Kieran; Kuti, Julius; Mondal, Santanu; Nogradi, Daniel; Wong, Chik Him

doi:10.1007/JHEP09(2015)039

Title: The running coupling of the minimal sextet composite Higgs model

Abstract

We compute the renormalized running coupling of SU(3) gauge theory coupled to N_f = 2 flavors of massless Dirac fermions in the 2-index-symmetric (sextet) representation. This model is of particular interest as a minimal realization of the strongly interacting composite Higgs scenario. A recently proposed finite volume gradient flow scheme is used. The calculations are performed at several lattice spacings with two different implementations of the gradient flow allowing for a controlled continuum extrapolation and particular attention is paid to estimating the systematic uncertainties. For small values of the renormalized coupling our results for the β-function agree with perturbation theory. For moderate couplings we observe a downward deviation relative to the 2-loop β-function but in the coupling range where the continuum extrapolation is fully under control we do not observe an infrared fixed point. The explored range includes the locations of the zero of the 3-loop and the 4-loop β-functions in the $$\overline{MS}$$ scheme. The absence of a non-trivial zero in the β-function in the explored range of the coupling is consistent with our earlier findings based on hadronic observables, the chiral condensate and the GMOR relation. The present work is the first to report continuum non-perturbative results for the sextet model.

Authors:

Fodor, Zoltan ^[1]; Holland, Kieran ^[2]; Kuti, Julius ^[3]; Mondal, Santanu ^[4]; Nogradi, Daniel ^[5]; Wong, Chik Him ^[6]

Univ. of Wuppertal (Germany). Dept. of Physics; Forschungszentrum Julich (Germany). Julich Supercomputing Center; Eotvos Univ., Budapest (Hungary). Inst. for Theoretical Physics
Univ. of the Pacific, Stockton, CA (United States); Bern Univ., Bern (Switzerland). Albert Einstein Center for Fundamental Physics, Inst. for Theoretical Physics
Univ. of California, San Diego, CA (United States)
Eotvos Univ., Budapest (Hungary). Inst. for Theoretical Physics; MTA-ELTE Lendulet Lattice Gauge Theory Research Group, Budapest (Hungary)
Eotvos Univ., Budapest (Hungary). Inst. for Theoretical Physics; MTA-ELTE Lendulet Lattice Gauge Theory Research Group, Budapest (Hungary); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
Univ. of Wuppertal (Germany). Dept. of Physics

Publication Date:: Tue Sep 08 00:00:00 EDT 2015

Research Org.:: Univ. of California, San Diego, CA (United States)

Sponsoring Org.:: USDOE; National Science Foundation (NSF); German Research Foundation (DFG)

OSTI Identifier:: 1454828

Grant/Contract Number:: SC0009919; NSF PHY11-25915; SFB-TR 55; 0704171; 0970137; 1318220; OTKA-NF-104034

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Higgs Physics; Beyond Standard Model; Lattice Gauge Field Theories

Citation Formats


                    Fodor, Zoltan, Holland, Kieran, Kuti, Julius, Mondal, Santanu, Nogradi, Daniel, and Wong, Chik Him. The running coupling of the minimal sextet composite Higgs model.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP09(2015)039.

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                    Fodor, Zoltan, Holland, Kieran, Kuti, Julius, Mondal, Santanu, Nogradi, Daniel, & Wong, Chik Him. The running coupling of the minimal sextet composite Higgs model.  United States.  https://doi.org/10.1007/JHEP09(2015)039

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                    Fodor, Zoltan, Holland, Kieran, Kuti, Julius, Mondal, Santanu, Nogradi, Daniel, and Wong, Chik Him. Tue .  
"The running coupling of the minimal sextet composite Higgs model".  United States.  https://doi.org/10.1007/JHEP09(2015)039.  https://www.osti.gov/servlets/purl/1454828.

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@article{osti_1454828,

  title        = {The running coupling of the minimal sextet composite Higgs model},

  author       = {Fodor, Zoltan and Holland, Kieran and Kuti, Julius and Mondal, Santanu and Nogradi, Daniel and Wong, Chik Him},

  abstractNote = {We compute the renormalized running coupling of SU(3) gauge theory coupled to Nf = 2 flavors of massless Dirac fermions in the 2-index-symmetric (sextet) representation. This model is of particular interest as a minimal realization of the strongly interacting composite Higgs scenario. A recently proposed finite volume gradient flow scheme is used. The calculations are performed at several lattice spacings with two different implementations of the gradient flow allowing for a controlled continuum extrapolation and particular attention is paid to estimating the systematic uncertainties. For small values of the renormalized coupling our results for the β-function agree with perturbation theory. For moderate couplings we observe a downward deviation relative to the 2-loop β-function but in the coupling range where the continuum extrapolation is fully under control we do not observe an infrared fixed point. The explored range includes the locations of the zero of the 3-loop and the 4-loop β-functions in the $\overline{MS}$ scheme. The absence of a non-trivial zero in the β-function in the explored range of the coupling is consistent with our earlier findings based on hadronic observables, the chiral condensate and the GMOR relation. The present work is the first to report continuum non-perturbative results for the sextet model.},

  doi          = {10.1007/JHEP09(2015)039},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 9,

  volume       = 2015,

  place        = {United States},

  year         = {Tue Sep 08 00:00:00 EDT 2015},

  month        = {Tue Sep 08 00:00:00 EDT 2015}

}

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Works referencing / citing this record:

Looking behind the Standard Model with lattice gauge theory
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The twelve-flavor β-function and dilaton tests of the sextet scalar
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Title: The running coupling of the minimal sextet composite Higgs model

Abstract

Citation Formats

The small-volume expansion of gauge theories coupled to massless fermions journal, September 1988

Continuum limit and improved action in lattice theories journal, September 1983

Can the nearly conformal sextet gauge model hide the Higgs impostor? journal, December 2012

The lattice gradient flow at tree-level and its improvement journal, September 2014

Ab Initio Determination of Light Hadron Masses journal, November 2008

Trivializing Maps, the Wilson Flow and the HMC Algorithm journal, November 2009

On-shell improved lattice gauge theories journal, March 1985

Finite size effects and twisted boundary conditions journal, January 1987

The running coupling of 8 flavors and 3 colors journal, June 2015

Search for a new resonance decaying to a W or Z boson and a Higgs boson in the $$\ell \ell / \ell \nu / \nu \nu + b \bar{b}$$ ℓ ℓ / ℓ ν / ν ν + b b ¯ final states with the ATLAS detector journal, June 2015

The Yang-Mills gradient flow in finite volume journal, November 2012

A new look at the statistical model identification journal, December 1974

Pure QCD in small volumes and the low lying glueball spectrum journal, July 1989

Perturbative analysis of the gradient flow in non-abelian gauge theories journal, February 2011

Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order journal, July 1974

The 4-loop quark mass anomalous dimension and the invariant quark mass journal, July 1997

Step scaling and the Yang-Mills gradient flow journal, June 2014

A numerical method to compute the running coupling in asymptotically free theories journal, July 1991

The running coupling of QCD with four flavors journal, November 2010

Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230] journal, May 2007

Some analytic results concerning the mass spectrum of Yang-Mills gauge theories on a torus journal, June 1983

Composite Higgs from higher representations journal, September 2004

On the phase structure of vector-like gauge theories with massless fermions journal, March 1982

High-precision scale setting in lattice QCD journal, September 2012

Zero-momentum contribution to wilson loops in periodic boxes journal, December 1985

The Schrödinger functional — a renormalizable probe for non-abelian gauge theories journal, October 1992

The gradient flow running coupling with twisted boundary conditions journal, November 2014

A rigorous nonperturbative result for the glueball mass and electric flux energy in a finite volume journal, August 1986

The gradient flow coupling in the Schrödinger functional journal, October 2013

Properties and uses of the Wilson flow in lattice QCD journal, August 2010

Infinite N phase transitions in continuum Wilson loop operators journal, March 2006

Ab initio calculation of the neutron-proton mass difference journal, March 2015

Lattice QCD as a video game journal, October 2007

Thermodynamics of S U ( 3 ) gauge theory from gradient flow on the lattice journal, July 2014

A non-perturbative analysis in finite volume gauge theory journal, May 1988

Regression and time series model selection in small samples journal, January 1989

Confining force and running coupling with twelve fundamental and two sextet fermions conference, December 2012

QCD with colour-sextet quarks conference, December 2012

Rooted staggered fermions: good, bad or ugly? conference, December 2006

Continuum limit and improved action in lattice theories journal, September 1983

Regression and Time Series Model Selection in Small Samples journal, June 1989

Herbaceous perennial plants with short generation time have stronger responses to climate anomalies than those with longer generation time journal, March 2021

Skillful statistical models to predict seasonal wind speed and solar radiation in a Yangtze River estuary case study journal, May 2020

Ab-initio Determination of Light Hadron Masses text, January 2009

Properties and uses of the Wilson flow in lattice QCD text, January 2010

Perturbative analysis of the gradient flow in non-abelian gauge theories text, January 2011

Confining force and running coupling with twelve fundamental and two sextet fermions preprint, January 2012

Step scaling and the Yang-Mills gradient flow text, January 2014

The lattice gradient flow at tree-level and its improvement text, January 2014

The gradient flow running coupling with twisted boundary conditions text, January 2014

Lattice QCD as a video game text, January 2006

Composite Higgs from Higher Representations text, January 2004

Looking behind the Standard Model with lattice gauge theory journal, January 2018

The twelve-flavor β-function and dilaton tests of the sextet scalar journal, January 2018

A new method for the beta function in the chiral symmetry broken phase journal, January 2018

SU(3) sextet model with Wilson fermions journal, August 2017

Low-energy effective action for pions and a dilatonic meson text, January 2016

Strong dynamics, composite Higgs and the conformal window text, January 2016

Looking behind the Standard Model with lattice gauge theory text, January 2017

Analysis of a Dilaton EFT for Lattice Data text, January 2017

The small-volume expansion of gauge theories coupled to massless fermions
journal, September 1988

Continuum limit and improved action in lattice theories
journal, September 1983

Can the nearly conformal sextet gauge model hide the Higgs impostor?
journal, December 2012

The lattice gradient flow at tree-level and its improvement
journal, September 2014

Ab Initio Determination of Light Hadron Masses
journal, November 2008

Trivializing Maps, the Wilson Flow and the HMC Algorithm
journal, November 2009

On-shell improved lattice gauge theories
journal, March 1985

Finite size effects and twisted boundary conditions
journal, January 1987

The running coupling of 8 flavors and 3 colors
journal, June 2015

Search for a new resonance decaying to a W or Z boson and a Higgs boson in the $$\ell \ell / \ell \nu / \nu \nu + b \bar{b}$$ ℓ ℓ / ℓ ν / ν ν + b b ¯ final states with the ATLAS detector
journal, June 2015

The Yang-Mills gradient flow in finite volume
journal, November 2012

A new look at the statistical model identification
journal, December 1974

Pure QCD in small volumes and the low lying glueball spectrum
journal, July 1989

Perturbative analysis of the gradient flow in non-abelian gauge theories
journal, February 2011

Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
journal, July 1974

The 4-loop quark mass anomalous dimension and the invariant quark mass
journal, July 1997

Step scaling and the Yang-Mills gradient flow
journal, June 2014

A numerical method to compute the running coupling in asymptotically free theories
journal, July 1991

The running coupling of QCD with four flavors
journal, November 2010

Comment on: “Chiral anomalies and rooted staggered fermions” [Phys. Lett. B 649 (2007) 230]
journal, May 2007

Some analytic results concerning the mass spectrum of Yang-Mills gauge theories on a torus
journal, June 1983

Composite Higgs from higher representations
journal, September 2004

On the phase structure of vector-like gauge theories with massless fermions
journal, March 1982

High-precision scale setting in lattice QCD
journal, September 2012

Zero-momentum contribution to wilson loops in periodic boxes
journal, December 1985

The Schrödinger functional — a renormalizable probe for non-abelian gauge theories
journal, October 1992

The gradient flow running coupling with twisted boundary conditions
journal, November 2014

A rigorous nonperturbative result for the glueball mass and electric flux energy in a finite volume
journal, August 1986

The gradient flow coupling in the Schrödinger functional
journal, October 2013

Properties and uses of the Wilson flow in lattice QCD
journal, August 2010

Infinite N phase transitions in continuum Wilson loop operators
journal, March 2006

Ab initio calculation of the neutron-proton mass difference
journal, March 2015

Lattice QCD as a video game
journal, October 2007

Thermodynamics of $S U (3)$ gauge theory from gradient flow on the lattice
journal, July 2014

A non-perturbative analysis in finite volume gauge theory
journal, May 1988

Regression and time series model selection in small samples
journal, January 1989

Confining force and running coupling with twelve fundamental and two sextet fermions
conference, December 2012

QCD with colour-sextet quarks
conference, December 2012

Rooted staggered fermions: good, bad or ugly?
conference, December 2006

Continuum limit and improved action in lattice theories
journal, September 1983

Regression and Time Series Model Selection in Small Samples
journal, June 1989

Herbaceous perennial plants with short generation time have stronger responses to climate anomalies than those with longer generation time
journal, March 2021

Skillful statistical models to predict seasonal wind speed and solar radiation in a Yangtze River estuary case study
journal, May 2020

Ab-initio Determination of Light Hadron Masses
text, January 2009

Properties and uses of the Wilson flow in lattice QCD
text, January 2010

Perturbative analysis of the gradient flow in non-abelian gauge theories
text, January 2011

Confining force and running coupling with twelve fundamental and two sextet fermions
preprint, January 2012

Step scaling and the Yang-Mills gradient flow
text, January 2014

The lattice gradient flow at tree-level and its improvement
text, January 2014

The gradient flow running coupling with twisted boundary conditions
text, January 2014

Lattice QCD as a video game
text, January 2006

Composite Higgs from Higher Representations
text, January 2004

Looking behind the Standard Model with lattice gauge theory
journal, January 2018

The twelve-flavor β-function and dilaton tests of the sextet scalar
journal, January 2018

A new method for the beta function in the chiral symmetry broken phase
journal, January 2018

SU(3) sextet model with Wilson fermions
journal, August 2017

Low-energy effective action for pions and a dilatonic meson
text, January 2016

Strong dynamics, composite Higgs and the conformal window
text, January 2016

Looking behind the Standard Model with lattice gauge theory
text, January 2017

Analysis of a Dilaton EFT for Lattice Data
text, January 2017