Fermion masses and hierarchy of symmetry breaking | Zendy

G.C. Branco | Zendy; Hans Peter Nilles | Zendy; V. Rittenberg | Zendy

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Fermion masses and hierarchy of symmetry breaking

Author(s) -

G.C. Branco,

Hans Peter Nilles,

V. Rittenberg

Publication year - 1980

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.21.3417

Subject(s) - physics , massless particle , particle physics , fermion , symmetry group , symmetry breaking , higgs boson , quark , tree (set theory) , invariant (physics) , elementary particle , combinatorics , mathematical physics , mathematics , geometry

We suggest that the breaking of a symmetry unifying the families of fermions occurs in stages. We consider the total Lagrangian to be invariant under the group SU(2) x U(1) x G-tilde, where G-tilde is a discrete group. The Higgs potential is, however, invariant under SU(2) x U(1) x G, where GcontainsG. In a first stage G-tilde is broken to a subgroup His contained inG, but H is not contained in G-tilde. The u and d quarks are naturally massless at the tree level, and we discuss how they could acquire mass through radiative corrections.

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