TY - JOUR
T1 - Renormalization group
T2 - New relations between the parameters of the Standard Model
AU - Juárez W., S. Rebeca
AU - Kielanowski, Piotr
AU - Mora, Gerardo
AU - Bohm, Arno
N1 - Publisher Copyright:
© 2017 The Author(s)
PY - 2017/9/10
Y1 - 2017/9/10
N2 - 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 ≃4×10−5 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 ≃4% and ≃1%, 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 ≃0.1%. 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.
AB - 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 ≃4×10−5 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 ≃4% and ≃1%, 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 ≃0.1%. 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.
KW - Renormalization group
KW - Standard Model
UR - http://www.scopus.com/inward/record.url?scp=85021664336&partnerID=8YFLogxK
U2 - 10.1016/j.physletb.2017.06.059
DO - 10.1016/j.physletb.2017.06.059
M3 - Artículo
SN - 0370-2693
VL - 772
SP - 294
EP - 299
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
ER -