Gravitational lensing of supernova neutrinos

Mena, Olga; Mocioiu, I.; Quigg, Chris

doi:10.1016/j.astropartphys.2007.07.002

Cited by 20 publications

(28 citation statements)

References 66 publications

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“…While these effects are expected to be small, even for huge gravitational sources such as massive/supermassive black holes, they could provide, in principle, a way to test the impact of quantum gravity and of other radiative corrections to the propagation of cosmic rays. Close encounters of a beam with a localized source, which could be a large black hole or a neutron star, are expected to be quite common in our universe, although the probability of identifying a lensing event characterized by a close alignment between the source, the lens and an earth based detector, especially for neutrinos, is exceedingly rare [9]. The situation might be more promising for photons in close encounters with primordial black holes, revealed by resorting to spaceborne detectors.…”

Section: Comparing Classical and Semiclassical Effectsmentioning

confidence: 99%

“…Specifically, in the case of a massive (Dirac) fermion one obtains 9) where the V µν m vertex is in this case given by…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…In this case, the radial change of variables which brings the metric into a symmetric form is given by 9) JHEP07 (2015)160 so that the RN spacetime in isotropic coordinates is…”

Section: Post Newtonian Contributions In Classical Grmentioning

confidence: 99%

“…and h µν (x) = 2GM κ| x|S µν , (A 9) where the field generated by a local (point-like, L) mass distribution has the typical 1/r (r ≡ | x|) behaviour. The fluctuations are normalized in such a way that h µν has mass dimension 1, as an ordinary bosonic field, with κ of mass dimension −1.…”

Section: A Fluctuations To First Order In the Newtonian Potentialmentioning

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: Comparing Classical and Semiclassical Effectsmentioning

confidence: 99%

“…Specifically, in the case of a massive (Dirac) fermion one obtains 9) where the V µν m vertex is in this case given by…”

Section: Jhep07(2015)160mentioning

confidence: 99%

“…In this case, the radial change of variables which brings the metric into a symmetric form is given by 9) JHEP07 (2015)160 so that the RN spacetime in isotropic coordinates is…”

Section: Post Newtonian Contributions In Classical Grmentioning

confidence: 99%

Section: A Fluctuations To First Order In the Newtonian Potentialmentioning

confidence: 99%

See 2 more Smart Citations

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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show abstract

“…Por esta razão é necessário ampliar o estudo de lentes gravitacionais para incluir lenteamento de neutrinos pois, como outras formas de matéria e energia, tambeém estão sujeitos à interação gravitacional. Estudos deste tipo já foram feitos para ou lenteamento gravitacional de neutrinos por estrelas e galáxias [76], para lenteamento de neutrinos de supernovas [77] e para fontes de neutrino transitórias associadas com explosões de raios gama.…”

Section: Deflexão De Um Feixe De Neutrinos Por Um Buraco Negro Supermunclassified

Estudo De Lentes Gravitacionais E Algumas Aplicações Para Astrofísica De Neutrino

INSUASTY¹

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Delgado Insuasty, Edwin Alexander; Nunokawa, Hiroshi (Advisor). Study of gravitational lenses and some applications to astrophysics of neutrino. Rio de Janeiro, 2013. 97p. MSc Dissertation -Departamento de Física, Pontifícia Universidade Católica do Rio de Janeiro.. In the present work I carried out an review of the elementary theory of gravitational lensing. It is mainly emphasizing to study the effect it would have neutrino mass in the time delay of signals from distant sources which are deflected due to the presence of a mass distribution that acts as a lens. To do this, for the mass values provided by neutrino oscillation, beta decay experiments and cosmology, we study the present contribution of cosmic background neutrinos to energy density of universe. Based on these results, it was made a comparison between the angular diameter distance measurement for an allowed neutrino mass and the value of the distance when the mass is zero. All this was done from the perspective of the standard cosmological model under two possible cases for the normalization condition of the energy density parameters present in the universe: first, when the radiation and cosmological energy density parameters are fixed and second when the parameters for matter and radiation are fixed. It was found that the effect of the neutrino mass on time delay measurement is negligible for the first case and has a contribution of the order of one percent for the second case.

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

Corianò

Rose

Gabrielli

et al. 2014

J. High Energ. Phys.

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Abstract:We investigate the role of the electroweak corrections to the scattering cross section of Standard Model fermions with gravity. We use both an approach of scattering off an external potential, where the gravitational field is treated as a classical background generated by a heavy source, and the usual interaction based on the one-graviton-exchange. In the potential appoach we consider the fields both of a localized and of a distributed gravitational source of spherical symmetry and uniform density, separating the cases of interactions taking place both in the inner and external regions of the source. This allows to make a distinction between interactions involving neutrinos and dark matter particles with a realistic gravity source, which cover the inner region, and the rest of the Standard model fermions. The role of the gravitationally induced flavour-changing transitions, as well as the flavour diagonal ones, are investigated in the limit of both large and small momentum transfers, deriving the structure of the corresponding Hamiltonian.

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Gravitational lensing of supernova neutrinos

Cited by 20 publications

References 66 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

Estudo De Lentes Gravitacionais E Algumas Aplicações Para Astrofísica De Neutrino

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

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