Fermion scattering in a gravitational background: electroweak corrections and flavour transitions

Corianò, Claudio; Rose, Luigi Delle; Gabrielli, Emidio; Trentadue, L.

doi:10.1007/jhep03(2014)136

Cited by 2 publications

(6 citation statements)

References 24 publications

(102 reference statements)

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“…In our approach the gravitational field is a static background, and the propagating matter fields are obtained by embedding the Standard Model Lagrangian on a curved spacetime, as discussed in previous works [14,17]. As in a previous study [5], also in our current case the field theoretical corrections to the gravitational deflection are in close agreement with the predictions of general relativity.…”

Section: Discussionsupporting

confidence: 69%

“…whose explicit expression has been given in appendix C. In the massless approximation for the neutrino masses, loop corrections do not induce flavor transition vertices, such as those computed in [14].…”

Section: The Neutrino Cross Section At 1-loopmentioning

confidence: 99%

“…Before coming to a discussion of the 1-loop effects in the scattering of neutrinos, we briefly summarize the result for the leading order cross sections for fermions, photons and scalars using in an external static background [13,14,[19][20][21]. We just recall that the scattering matrix element is written as…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…As pointed out in previous studies [5,7,14,25], the computation of the angle of deflection for a fermion or a photon involves a simple semiclassical analysis, in which one introduces the impact parameter representation of the specific classical cross section and equates it to the quantum one. The classical/semiclassical scattering process is illustrated in figure 2, with α denoting the angle of deflection.…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…We start our analysis with a brief discussion of the structure of the gravitational interaction of neutrinos, building on the results of [13,14], to which we refer for additional details, and that we are going to specialize to the case of a massless neutrino. An analysis of gravity with the fermion sector is contained in [15].…”

Section: Gravitational Interaction Of Neutrinosmentioning

confidence: 99%

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Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Corianò

Costantini

Dell’Atti

et al. 2015

J. High Energ. Phys.

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We extend a previous phenomenological analysis of photon lensing in an external gravitational background to the case of a massless neutrino, and propose a method to incorporate radiative effects in the classical lens equations of neutrinos and photons. The study is performed for a Schwarzschild metric, generated by a point-like source, and expanded in the Newtonian potential at first order. We use a semiclassical approach, where the perturbative corrections to neutrino scattering, evaluated at one-loop in the Standard Model, are compared with the Einstein formula for the deflection using an impact parameter formulation. For this purpose, we use the renormalized expression of the graviton/fermion/fermion vertex presented in previous studies. We show the agreement between the classical and the semiclassical formulations, for values of the impact parameter b h of the neutrinos of the order of b h ∼ 20, measured in units of the Schwarzschild radius. The analysis is then extended with the inclusion of the post Newtonian corrections in the external gravity field, showing that this extension finds application in the case of the scattering of a neutrino/photon off a primordial black hole. The energy dependence of the deflection, generated by the quantum corrections, is then combined with the standard formulation of the classical lens equations. We illustrate our approach by detailed numerical studies, using as a reference both the thin lens and the Virbhadra-Ellis lens.

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Section: Discussionsupporting

confidence: 69%

Section: The Neutrino Cross Section At 1-loopmentioning

confidence: 99%

Section: Jhep07(2015)160mentioning

confidence: 99%

Section: Jhep07(2015)160mentioning

confidence: 99%

Section: Gravitational Interaction Of Neutrinosmentioning

confidence: 99%

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Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Corianò

Costantini

Dell’Atti

et al. 2015

J. High Energ. Phys.

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Electroweak corrections to photon scattering, polarization and lensing in a gravitational background and the near horizon limit

Corianò

Rose

Maglio

et al. 2015

J. High Energ. Phys.

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We investigate the semiclassical approach to the lensing of photons in a spherically symmetric gravitational background, starting from Born level and include in our analysis the radiative corrections obtained from the electroweak theory for the graviton/photon/photon vertex. In this approach, the cross section is related to the angular variation of the impact parameter (b), which is then solved for b as a function of the angle of deflection, and measured in horizon units (b h ≡ b/(2GM )). Exact numerical solutions for the angular deflection are presented. The numerical analysis shows that perturbation theory in a weak background agrees with the classical Einstein formula for the deflection already at distances of the order of 20 horizon units (∼ 20 b h ) and it is optimal in the description both of very strong and weak lensings. We show that the electroweak corrections to the cross section are sizeable, becoming very significant for high energy gamma rays. Our analysis covers in energy most of the photon spectrum, from the cosmic microwave background up to very high energy gamma rays, and scatterings with any value of the photon impact parameter. We also study the helicity-flip photon amplitude, which is of O(α 2 ) in the weak coupling α, and its massless fermion limit, which involves the exchange of a conformal anomaly pole. The corresponding cross section is proportional to the Born level result and brings to a simple renormalization of Einsten's formula.

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Fermion scattering in a gravitational background: electroweak corrections and flavour transitions

Cited by 2 publications

References 24 publications

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Neutrino and photon lensing by black holes: radiative lens equations and post-Newtonian contributions

Electroweak corrections to photon scattering, polarization and lensing in a gravitational background and the near horizon limit

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