Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-06-11
Nucl.Phys.B430:345-381,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
38 pages, CERN-TH.7262/94, LPTHE-Orsay-94/48, HD-THEP-94-19, FAMNSE-12-94, NSF-ITP-94-64
Scientific paper
10.1016/0550-3213(94)00409-9
We consider quantum effects in a world with two coexisting symmetry phases, unbroken and spontaneously broken, as a result of a first order phase transition. The discrete symmetries of the problem are discussed in general. We compute the exact two-point Green function for a free fermion, when a thin wall separates the two phases. The Dirac propagator displays both massive and massless poles, and new CP-even phases resulting from the fermion reflection on the wall. We discuss the possible quark-antiquark CP asymmetries produced in the Standard Model(SM) for the academic $T=0$ case. General arguments indicate that an effect first appears at order $\alpha_W$ in the reflection amplitude, as the wall acts as a source of momentum and the on-shell one-loop self-energy cannot be renormalized away. The asymmetries stem from the interference of the SM CP-odd couplings and the CP-even phases in the propagator. We perform a toy computation that indicates the type of GIM cancellations of the problem. The behaviour can be expressed in terms of two unitarity triangles.
Gavela Belén M.
Lozano Manuel
Orloff Jean
Pene Olivier
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