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

Journal Article · · Physics Letters B
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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.

Research Organization:
Univ. of California, San Diego, CA (United States); Univ. of Wuppertal (Germany); Forschungszentrum Juelich (Germany)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Hungarian Scientific Research Fund (OTKA); German Research Foundation (DFG)
Grant/Contract Number:
OTKA-NF-104034; 1620845; 1318220; SFB-TR 55; SC0009919
OSTI ID:
1420331
Alternate ID(s):
OSTI ID: 1499172
Journal Information:
Physics Letters B, Journal Name: Physics Letters B Vol. 779 Journal Issue: C; ISSN 0370-2693
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (8)

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

Cited By (5)

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
Improved study of the β -function of S U ( 3 ) gauge theory with N f = 10 massless domain-wall fermions journal January 2019
Nonperturbative Renormalization of Operators in Near-Conformal Systems Using Gradient Flows journal November 2018
Anomalous dimensions of potential top-partners journal January 2019

Figures / Tables (10)

Table 1(p. 2)table Table 1
Fig. 1.(p. 3)figure Fig. 1.
Fig. 2.(p. 3)figure Fig. 2.
Fig. 3.(p. 4)figure Fig. 3.
Fig. 4.(p. 4)figure Fig. 4.
Fig. 5.(p. 5)figure Fig. 5.
Fig. 6.(p. 5)figure Fig. 6.
Fig. 7.(p. 6)figure Fig. 7.
Fig. 8.(p. 6)figure Fig. 8.
Fig. 9.(p. 7)figure Fig. 9.

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS