DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Extended investigation of the twelve-flavor β-function

Abstract

We report new results from high precision analysis of an important BSM gauge theory with twelve massless fermion flavors in the fundamental representation of the SU(3) color gauge group. The range of the renormalized gauge coupling is extended from our earlier work [1] to probe the existence of an infrared fixed point (IRFP) in the β-function reported at two different locations, originally in [2] and at a new location in [3]. We find no evidence for the IRFP of the β-function in the extended range of the renormalized gauge coupling, in disagreement with [2], [3]. New arguments to guard the existence of the IRFP remain unconvincing [4], including recent claims of an IRFP with ten massless fermion flavors [5], [6] which we also rule out. Predictions of the recently completed 5-loop QCD β-function for general flavor number are discussed in this context.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States); Univ. of Wuppertal (Germany); Forschungszentrum Juelich (Germany)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Hungarian Scientific Research Fund (OTKA); German Research Foundation (DFG)
OSTI Identifier:
1420331
Alternate Identifier(s):
OSTI ID: 1499172
Grant/Contract Number:  
OTKA-NF-104034; 1620845; 1318220; SFB-TR 55; SC0009919
Resource Type:
Published Article
Journal Name:
Physics Letters B
Additional Journal Information:
Journal Name: Physics Letters B Journal Volume: 779 Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Fodor, Zoltán, Holland, Kieran, Kuti, Julius, Nógrádi, Dániel, and Wong, Chik Him. Extended investigation of the twelve-flavor β-function. Netherlands: N. p., 2018. Web. doi:10.1016/j.physletb.2018.02.008.
Fodor, Zoltán, Holland, Kieran, Kuti, Julius, Nógrádi, Dániel, & Wong, Chik Him. Extended investigation of the twelve-flavor β-function. Netherlands. https://doi.org/10.1016/j.physletb.2018.02.008
Fodor, Zoltán, Holland, Kieran, Kuti, Julius, Nógrádi, Dániel, and Wong, Chik Him. Sun . "Extended investigation of the twelve-flavor β-function". Netherlands. https://doi.org/10.1016/j.physletb.2018.02.008.
@article{osti_1420331,
title = {Extended investigation of the twelve-flavor β-function},
author = {Fodor, Zoltán and Holland, Kieran and Kuti, Julius and Nógrádi, Dániel and Wong, Chik Him},
abstractNote = {We report new results from high precision analysis of an important BSM gauge theory with twelve massless fermion flavors in the fundamental representation of the SU(3) color gauge group. The range of the renormalized gauge coupling is extended from our earlier work [1] to probe the existence of an infrared fixed point (IRFP) in the β-function reported at two different locations, originally in [2] and at a new location in [3]. We find no evidence for the IRFP of the β-function in the extended range of the renormalized gauge coupling, in disagreement with [2], [3]. New arguments to guard the existence of the IRFP remain unconvincing [4], including recent claims of an IRFP with ten massless fermion flavors [5], [6] which we also rule out. Predictions of the recently completed 5-loop QCD β-function for general flavor number are discussed in this context.},
doi = {10.1016/j.physletb.2018.02.008},
journal = {Physics Letters B},
number = C,
volume = 779,
place = {Netherlands},
year = {Sun Apr 01 00:00:00 EDT 2018},
month = {Sun Apr 01 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.physletb.2018.02.008

Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

Figures / Tables:

Table 1 Table 1: With previously tuned bare gauge couplings g$^2_0$ , the final 26 precision tuned runs are tabulated with 13 tuned runs and 13 paired s = 2 steps. The D, E, F run sets target g2 approximately at 6.6, 6.8, 7.0 respectively.

Save / Share:

Works referenced in this record:

Lattice study of conformal behavior in SU(3) Yang-Mills theories
journal, April 2009


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


Higher-order scheme-independent series expansions of γ ψ ¯ ψ , IR and β IR in conformal field theories
journal, May 2017


Scheme-independent calculation of γ ψ ¯ ψ , I R for an SU(3) gauge theory
journal, November 2016


Five-Loop Running of the QCD Coupling Constant
journal, February 2017


Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group
journal, November 2016


Monte Carlo errors with less errors
journal, January 2004


Lattice Study of the Conformal Window in QCD-like Theories
journal, April 2008


Works referencing / citing this record:

Gradient flow step-scaling function for SU(3) with twelve flavors
journal, December 2019


Infrared fixed point of SU(2) gauge theory with six flavors
journal, June 2018


Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows
journal, November 2018


Anomalous dimensions of potential top-partners
journal, January 2019