The Mikheyev-Smirnov-Wolfenstein Matter Potential at the One-loop Level in the Standard Model

Abstract

When neutrinos are propagating in ordinary matter, their coherent forward scattering off background particles results in the so-called Mikheyev-Smirnov-Wolfenstein (MSW) matter potential, which plays an important role in neutrino flavor conversions. In this paper, we present a complete one-loop calculation of the MSW matter potential in the Standard Model (SM). First, we carry out the one-loop renormalization of the SM in the on-shell scheme, where the electromagnetic fine-structure constant $\alpha$, the weak gauge-boson masses $m_W^{}$ and $m_Z^{}$, the Higgs-boson mass $m_h^{}$ and the fermion masses $m_f^{}$ are chosen as input parameters. Then, the finite corrections to the scattering amplitudes of neutrinos with the electrons and quarks are calculated, and the one-loop MSW matter potentials are derived. Adopting the latest values of all physical parameters, we find that the relative size of one-loop correction to the charged-current matter potential of electron-type neutrinos or antineutrinos turns out to be $6\%$, whereas that to the neutral-current matter potential of all-flavor neutrinos or antineutrinos can be as large as $8\%$. The calculations are also performed in the $\overline{\mathrm{MS}}$ scheme and compared with previous results in the literature.

arXiv comment33 pages, 12 figures, 3 tables, more discussions and references added, version accepted by PRD

References in corpus (16)

• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Neutrino Physics with JUNO
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Identifying the neutrino mass spectrum from a supernova neutrino burst
• Flavor structures of charged fermions and massive neutrinos
• Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
• Generalized Fierz identities
• Sub-percent Precision Measurement of Neutrino Oscillation Parameters with JUNO
• Impact of eV-mass sterile neutrinos on neutrino-driven supernova outflows
• Impact of active-sterile neutrino mixing on supernova explosion and nucleosynthesis
• Fermion Mixing Renormalization and Gauge Invariance
• Gauge and Scheme Dependence of Mixing Matrix Renormalization
• On the effective theory of neutrino-electron and neutrino-quark interactions
• Neutrinos from Stellar Collapse: Effects of flavour mixing
• Flavour-dependent radiative correction to neutrino-neutrino refraction
• Radiative corrections to the lepton flavor mixing in dense matter

Cited by in corpus (6)

• Elastic Neutrino-electron Scattering at the One-loop Level in the Standard Model
• Detecting Ultralight Dark Matter with Matter Effect
• One-Loop Effects in the Neutrino Matter Potential and Implications for Non-Standard Interactions
• Neutrino CP Measurement in the Presence of RG Running with Mismatched Momentum Transfers
• One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
• One-loop Renormalization of the Type-I Seesaw Model in the Modified Minimal-subtraction Scheme