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Title: Large-mass regime of the dilaton-pion low-energy effective theory

Abstract

Numerical data of the SU(3) gauge theory with Nf = 8 fermions in the fundamental representation suggest the existence of a large-mass regime, where the fermion mass is not small relative to the confinement scale, but nevertheless the dilaton-pion low-energy theory is applicable thanks to the parametric proximity of the conformal window. In this regime, the leading hyperscaling relations are similar to those of a mass-deformed conformal theory, so that distinguishing infrared conformality from confinement requires the study of subleading effects. Assuming that the Nf = 8 theory confines, we estimate how light the fermion mass should be to enter the small-mass regime, where the pions become much lighter than the dilatonic scalar meson.

Authors:
;
Publication Date:
Research Org.:
San Francisco State Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1473997
Alternate Identifier(s):
OSTI ID: 1498905
Grant/Contract Number:  
FG03-92ER40711
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Golterman, Maarten, and Shamir, Yigal. Large-mass regime of the dilaton-pion low-energy effective theory. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.98.056025.
Golterman, Maarten, & Shamir, Yigal. Large-mass regime of the dilaton-pion low-energy effective theory. United States. doi:10.1103/PhysRevD.98.056025.
Golterman, Maarten, and Shamir, Yigal. Wed . "Large-mass regime of the dilaton-pion low-energy effective theory". United States. doi:10.1103/PhysRevD.98.056025.
@article{osti_1473997,
title = {Large-mass regime of the dilaton-pion low-energy effective theory},
author = {Golterman, Maarten and Shamir, Yigal},
abstractNote = {Numerical data of the SU(3) gauge theory with Nf = 8 fermions in the fundamental representation suggest the existence of a large-mass regime, where the fermion mass is not small relative to the confinement scale, but nevertheless the dilaton-pion low-energy theory is applicable thanks to the parametric proximity of the conformal window. In this regime, the leading hyperscaling relations are similar to those of a mass-deformed conformal theory, so that distinguishing infrared conformality from confinement requires the study of subleading effects. Assuming that the Nf = 8 theory confines, we estimate how light the fermion mass should be to enter the small-mass regime, where the pions become much lighter than the dilatonic scalar meson.},
doi = {10.1103/PhysRevD.98.056025},
journal = {Physical Review D},
number = 5,
volume = 98,
place = {United States},
year = {2018},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.98.056025

Citation Metrics:
Cited by: 2 works
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Figures / Tables:

TABLE I TABLE I: $v$($m$) as a function of m, using results for the nucleon mass from Ref. [10], and assuming $y$ = 2. The 5th column gives the value of $v$($m$1) if the pair ($m$1,$m$$i$) is used to solve Eqs. (2.15) and (2.8). For $v$($m$1) in the 4th column we tookmore » the average of the values obtained from the pairs ($m$1,$m$2), ($m$1,$m$3), and ($m$1,$m$4). Except for the second column, we keep only two significant digits. Statistical errors have been suppressed.« less

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Works referenced in this record:

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


Light flavor-singlet scalars and walking signals in N f = 8 QCD on the lattice
journal, July 2017


Infrared dynamics of minimal walking technicolor
journal, July 2010


Some aspects of a unified approach to gauge, dual and Gribov theories
journal, December 1976


A naturally light dilaton
journal, November 2013

  • Coradeschi, Francesco; Lodone, Paolo; Pappadopulo, Duccio
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)057

Hyperscaling relations in mass-deformed conformal gauge theories
journal, July 2010


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


U(1) without instantons
journal, November 1979


Dilaton EFT framework for lattice data
journal, July 2017

  • Appelquist, Thomas; Ingoldby, James; Piai, Maurizio
  • Journal of High Energy Physics, Vol. 2017, Issue 7
  • DOI: 10.1007/JHEP07(2017)035

Strongly interacting dynamics and the search for new physics at the LHC
journal, June 2016


Effective pion mass term and the trace anomaly
journal, January 2017


Low-energy effective action for pions and a dilatonic meson
journal, September 2016


Lattice tests of beyond standard model dynamics
journal, January 2016


Analysis of a dilaton EFT for lattice data
journal, March 2018

  • Appelquist, Thomas; Ingoldby, James; Piai, Maurizio
  • Journal of High Energy Physics, Vol. 2018, Issue 3
  • DOI: 10.1007/JHEP03(2018)039

Finite size scaling of conformal theories in the presence of a near-marginal operator
journal, July 2014


Strong dynamics, composite Higgs and the conformal window
journal, August 2016

  • Nogradi, Daniel; Patella, Agostino
  • International Journal of Modern Physics A, Vol. 31, Issue 22
  • DOI: 10.1142/S0217751X1643003X

    Works referencing / citing this record:

    Into the conformal window: Multirepresentation gauge theories
    journal, March 2020


    ε -regime of dilaton chiral perturbation theory
    journal, December 2019


    Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
    journal, January 2019


    Lattice gauge theory for physics beyond the Standard Model
    journal, November 2019

    • Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T.
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12901-5

      Figures / Tables found in this record:

        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.