Taming the pinch singularities in the two-loop neutrino self-energy in a medium
arXiv:2104.04459 · doi:10.1103/PhysRevD.103.116026
Abstract
We consider the calculation of the thermal self-energy of a neutrino that propagates in a medium composed of fermions and scalars interacting via a Yukawa-type coupling, in the case that the neutri no energy is much larger than the fermion and scalar masses, as well as the temperature and chemical potentials of the background. In this kinematic regime the one-loop contribution to the imaginary part of the self-energy is negligible. We consider the two-loop contribution and we encounter the so-called pinch singularities which are known to arise in higher loop self-energy calculations in Thermal Field Theory. With a judicious use of the properties and parametrizations of the thermal propagators the singularities are treated effectively and actually disappear. From the imaginary part of the self-energy, we obtain a precise formula for the damping matrix expressed in terms of integrals over the background particle distributions. The formulas predict a specific dependence of the damping terms on the neutrino energy, depending on the background conditions. For guidance to estimating the effects in specific contexts, we compute the damping terms for several limiting cases of the momentum distribution functions of the background particles. We discuss briefly the connection between the results of our calculations for the damping matrix and the decoherence effects described in terms of the Lindblad equation.
arXiv comment26 pages, 3 figures, Updated to incorporate the corrections made in the text and some references in the published version
References in corpus (35)
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Quantum trajectories and open many-body quantum systems
- Collective Neutrino Oscillations
- Analytical treatment of neutrino asymmetry equilibration from flavour oscillations in the early universe
- Collective neutrino flavor conversion: Recent developments
- Neutrino Non-Standard Interactions: A Status Report
- Cosmological bounds on dark matter-neutrino interactions
- Dark matter-neutrino interactions through the lens of their cosmological implications
- Collapse of the State Vector
- Probing non-standard decoherence effects with solar and KamLAND neutrinos
- Scalar Non-Standard Interactions in Neutrino Oscillation
- Majoron Dark Matter and Constraints on the Majoron-Neutrino Coupling
- Simple Derivation of the Lindblad Equation
- Effects of non-standard neutrino-electron interactions on relic neutrino decoupling
- Matter Power Spectrum in Hidden Neutrino Interacting Dark Matter Models: A Closer Look at the Collision Term
- Decoherence in neutrino oscillations, neutrino nature and CPT violation
- Decoherence in neutrino propagation through matter, and bounds from IceCube/DeepCore
- Problems of Perturbation Series in Non-Equilibrium Quantum Field Theories
- Quantum Decoherence Effects in Neutrino Oscillations at DUNE
- Non-Hermitian Majorana modes protect degenerate steady states
- Signatures of Ultralight Dark Matter in Neutrino Oscillation Experiments
- Revisiting quantum decoherence for neutrino oscillations in constant matter density
- Interactions of Astrophysical Neutrinos with Dark Matter: A model building perspective
- Probing neutrino quantum decoherence at reactor experiments
- Decoherence, matter effect, neutrino hierarchy signature in long baseline experiments
- Revisiting the quantum decoherence scenario as an explanation for the LSND anomaly
- Dark Matter-Neutrino Interaction in Light of Collider and Neutrino Telescope Data
- New Developments and Applications of Thermal Field Theory
- Neutrino decoherence in a fermion and scalar background
- Neutrino decoherence in an electron and nucleon background
- Neutrino damping in a fermion and scalar background
- Neutrino effective potential in a fermion and scalar background
- Quantum Dissipation in a Neutrino System Propagating in Vacuum and in Matter
- Are We Looking at Neutrino Absorption Spectra at IceCube?
- JUNO Sensitivity to Resonant Absorption of Galactic Supernova Neutrinos by Dark Matter