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Radiative contributions to quark and lepton masses in grand unified theories

Journal Article · · Phys. Rev. D; (United States)
The mass perturbation and the evolution equation of fermion masses are studied in different gauge models on the basis of the Dyson-Schwinger equation. In theories with spontaneous symmetry breaking, we recover the results obtained using the renormalization-group method for momentum scales well above symmetry breaking and obtain new results for energies close to or well below, the symmetry-violating scale, where spontaneous symmetry breaking gives an important contribution to the self-mass of a fermion. We examine the contribution to self-masses in the SU(3) x U(1)/sub em/ gauge theory and in the SU(3) x SU(2) x U(1) model and discuss the relevance of embedding the standard component model in the structure of SU(5). For asymptotically free grand unified models, the self-masses are individually finite with no constraint on the number of quark or lepton flavors. Within this context we examine the possibility that the proton-neutron mass difference is determined by the very short distance scale associated with the unified theory of the strong, weak, and electromagnetic interactions.
Research Organization:
Escuela de Fisica, Universidad de Costa Rica, San Jose, Costa Rica
DOE Contract Number:
NONE;
OSTI ID:
6367798
Journal Information:
Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:12; ISSN PRVDA
Country of Publication:
United States
Language:
English