Fermion scattering off a<i>CP</i>-violating electroweak bubble wall

Funakubo, Koichi; Kakuto, Akira; Otsuki, Shoichiro; Takenaga, Kazunori; Toyoda, Fumihiko

doi:10.1103/physrevd.50.1105

Cited by 27 publications

(66 citation statements)

References 17 publications

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“…which simplifies the action of the q i -Dirac operator, or that 17) which prepares for the action of the q f -Dirac operator. In fact, eq.…”

Section: Wave Packetsmentioning

confidence: 99%

“…[17] which derives the Dirac propagator in presence of a thick wall and uses it to compute the CPasymmetry in the reflection process. The source of CP-violation they use is not a SM loop but rather the tree-level axial quark mass in a 2 scalar model.…”

Section: Wave Packetsmentioning

confidence: 99%

“…The latter provides an adequate physical description for typical momentum of the incoming particles | p| smaller than the inverse wall thickness l, i.e., | p| ≪ 1/l. For higher momenta the cutoff effects would show up [17], but it is reasonable to believe that the accuracy of the thin wall approximation produces an upper bound for the CP asymmetry.…”

Section: Introductionmentioning

confidence: 99%

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Standard model CP-violation and baryon asymmetry (I). Zero temperature

Lozano²,

et al. 1994

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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 twopoint 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 quarkantiquark CP asymmetries produced in the Standard Model(SM) for the academic T = 0 case. General arguments indicate that an effect first appears at order α 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.

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“…which simplifies the action of the q i -Dirac operator, or that 17) which prepares for the action of the q f -Dirac operator. In fact, eq.…”

Section: Wave Packetsmentioning

confidence: 99%

Section: Wave Packetsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Standard model CP-violation and baryon asymmetry (I). Zero temperature

Lozano²,

et al. 1994

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“…(2.13) (see Refs. [21], [22]). Let us expand ψ (0) in terms of the eigenstates of γ 3 : 17) where s = 1, 2, and…”

Section: Cp-violating Dirac Equationmentioning

confidence: 99%

“…The problem to solve Dirac equation in the background of the bubble wall without CP-violation [20] and with CP-violation [21] has been already studied. The authors also have studied the case of fermion scattering in the background of the bubble wall without CP-violation and in presence of a constant magnetic field perpendicular to the wall [22].…”

Section: Introductionmentioning

confidence: 99%

Fermion scattering off aCP-violating bubble wall in the background of a uniform magnetic field

2004

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In the scenario of the electroweak baryogenesis we consider the dynamics of fermions with a spatially varying mass in presence of a CP-violating bubble wall and a uniform magnetic field perpendicular to the wall. The relevant quantity for baryogenesis, R R→L − R L→R , is studied (R R→L and R L→R being the reflection coefficients for right-handed and left-handed chiral fermions, respectively).

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CP-Violating Reflection of High Energy Fermions during a First-Order Phase Transition

1997

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We study the high energy behaviour of fermions hitting a general wall caused by a first-order phase transition. The wall profile is introduced through general analytic and nonanalytic functions. The reflection coefficient is computed in the high energy limit and its connection with the analytic properties of the wall profile function is shown. The high energy behaviour of the fermions hitting the wall is determined either by the leading singularity, i.e., the closest pole to the real axis when the profile function is analytic, or by the first noncontinuous derivative on the real axis in the nonanalytic case. CP-violating wall profiles are studied and it is shown that the respective symmetry properties of the CP-conserving and CP-violating profile functions play an important role on the size of the CP asymmetry.1997 Academic Press

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Fermion scattering off aCP-violating electroweak bubble wall

Cited by 27 publications

References 17 publications

Standard model CP-violation and baryon asymmetry (I). Zero temperature

Standard model CP-violation and baryon asymmetry (I). Zero temperature

Fermion scattering off aCP-violating bubble wall in the background of a uniform magnetic field

CP-Violating Reflection of High Energy Fermions during a First-Order Phase Transition

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