Extended investigation of the twelve-flavor β -function

Zoltán Fodor (Jülich Supercomputing Center, Forschungszentrum, Jülich, Jülich, D-52425, Germany; Department of Physics, University of Wuppertal, Gaussstrasse 20, D-42119, Germany) ; Kieran Holland (Department of Physics, University of the Pacific, 3601 Pacific Ave, Stockton, CA, 95211, USA) ; Julius Kuti (Department of Physics 0319, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093, USA) ; Dániel Nógrádi (Universidad Autonoma, IFT UAM/CSIC, Departamento de Fisica Teorica, Madrid, 28049, Spain) ; Chik Him Wong (Department of Physics, University of Wuppertal, Gaussstrasse 20, D-42119, Germany)

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.

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      "title": "Extended investigation of the twelve-flavor \u03b2 -function"
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      "value": "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 \u03b2 -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 \u03b2 -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 \u03b2 -function for general flavor number are discussed in this context."
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Published on:
12 February 2018
Publisher:
Elsevier
Published in:
Physics Letters B (2018)

DOI:
https://doi.org/10.1016/j.physletb.2018.02.008
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: