Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5494689 | Physics Letters B | 2017 | 6 Pages |
Abstract
We analyze the renormalization group equations for the Standard Model at the one and two loops levels. At one loop level we find an exact constant of evolution built from the product of the quark masses and the gauge couplings g1 and g3 of the U(1) and SU(3) groups. For leptons at one loop level we find that the ratio of the charged lepton mass and the power of g1 varies â4Ã10â5 in the whole energy range. At the two loop level we have found two relations between the quark masses and the gauge couplings that vary â4% and â1%, respectively. For leptons at the two loop level we have derived a relation between the charged lepton mass and the gauge couplings g1 and g2 that varies â0.1%. This analysis significantly simplifies the picture of the renormalization group evolution of the Standard Model and establishes new important relations between its parameters. There is also included a discussion of the gauge invariance of our relations and its possible relation to the reduction of couplings method.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Nuclear and High Energy Physics
Authors
S. Rebeca Juárez W., Piotr Kielanowski, Gerardo Mora, Arno Bohm,