Flavour-dependent radiative correction to neutrino-neutrino refraction

Abstract

In the framework of the Standard Model we calculate the flavour non-universal correction for neutrino refraction in a neutrino background and verify a similar previous result for the case of ordinary-matter background. The dominant term arises at loop level and involves tau leptons circulating in the loop. These O(G_F m_tau^2) corrections to the tree-level potential provide the dominant refractive difference between nu_mu and nu_tau unless the medium contains mu or tau leptons. Our results affect the flavour evolution of dense neutrino gases and may be of interest for collective three-flavour oscillations of supernova neutrinos. We spell out explicitly how these non-universal neutrino-neutrino interactions enter the flavour oscillation equations.

arXiv comment15 pages, 6 figures; updated reference list

References in corpus (11)

• Identifying the neutrino mass spectrum from a supernova neutrino burst
• Physics of Synchronized Neutrino Oscillations Caused by Self-Interactions
• Role of dense matter in collective supernova neutrino transformations
• Neutrino flavour transformation in supernovae
• Self-Maintained Coherent Oscillations in Dense Neutrino Gases
• Collective neutrinos oscillation in matter and CP-violation
• Mu-tau neutrino refraction and collective three-flavor transformations in supernovae
• Nonstandard neutrino-neutrino refractive effects in dense neutrino gases
• Supernova neutrinos: difference of nu_mu - nu_tau fluxes and conversion effects
• SUSY radiative corrections on mu-tau neutrino refraction including possible R-parity breaking interactions
• Supersymmetric radiative corrections to neutrino indices of refraction

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• Fast flavor conversions in supernovae: the rise of mu-tau neutrinos
• Normal-mode Analysis for Collective Neutrino Oscillations
• Impact of sterile neutrinos on the early time flux from a galactic supernova
• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
• Triggering collective oscillations by three-flavor effects
• Interplay between collective effects and non-standard interactions of supernova neutrinos
• Quantum field theoretic approach to neutrino oscillations in matter
• Signatures of collective and matter effects on supernova neutrinos at large detectors
• SUSY radiative corrections on mu-tau neutrino refraction including possible R-parity breaking interactions
• The Mikheyev-Smirnov-Wolfenstein Matter Potential at the One-loop Level in the Standard Model
• Detecting Ultralight Dark Matter with Matter Effect
• On probing turbulence in core-collapse supernovae in upcoming neutrino detectors
• One-loop correction effects on supernova neutrino fluxes: a new possible probe for Beyond Standard Models
• One-Loop Effects in the Neutrino Matter Potential and Implications for Non-Standard Interactions
• Neutrino dispersion relation in a magnetized multi-stream matter background