Radiative corrections in neutrino-deuterium disintegration

Abstract

The radiative corrections of order $\alpha$ for the charged and neutral current neutrino-deuterium disintegration for energies relevant to the SNO experiment are evaluated. Particular attention is paid to the issue of the bremsstrahlung detection threshold. It is shown that the radiative corrections to the total cross section for the charged current reaction are independent of that threshold, as they must be for consistency, and amount to a slowly decreasing function of the neutrino energy $E_{\nu }$, varying from $\sim$ 4% at low energies to $\sim$ 3% at the end of the ${}^8$B spectrum. The differential cross section corrections, on the other hand, do depend on the bremsstrahlung detection threshold. Various choices of the threshold are discussed. It is shown that for a realistic choice of the threshold, and for the actual electron energy threshold of the SNO detector, the deduced ${}^8$B ${\nu }_e$ flux should be decreased by $\sim$ 2%. The radiative corrections to the neutral current reaction are also evaluated.

25 pages, 8 figures. Only minor changes: typos corrected

References in corpus (3)

• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Solar 8B and hep Neutrino Measurements from 1258 Days of Super-Kamiokande Data
• On the Normalization of the Neutrino-Deuteron Cross Section

Cited by in corpus (36)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Quantum Monte Carlo methods for nuclear physics
• Measurement of the Total Active 8B Solar Neutrino Flux at the Sudbury Neutrino Observatory with Enhanced Neutral Current Sensitivity
• From eV to EeV: Neutrino Cross Sections Across Energy Scales
• Nuclear weak-interaction processes in stars
• Electron Energy Spectra, Fluxes, and Day-Night Asymmetries of ${}^8$B Solar Neutrinos from the 391-Day Salt Phase SNO Data Set
• Precise quasielastic neutrino/nucleon cross section
• Getting the most from the statistical analysis of solar neutrino oscillations
• Independent Measurement of the Total Active 8B Solar Neutrino Flux Using an Array of 3He Proportional Counters at the Sudbury Neutrino Observatory
• Measurement of the ${\nu }_e$ and Total ${}^8$B Solar Neutrino Fluxes with the Sudbury Neutrino Observatory Phase I Data Set
• Solar Neutrinos Before and After KamLAND
• Neutrino-deuteron reactions at solar neutrino energies
• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• A Search for Neutrinos from the Solar hep Reaction and the Diffuse Supernova Neutrino Background with the Sudbury Neutrino Observatory
• Measurement of the ${\nu }_e$ and Total ${}^8$B Solar Neutrino Fluxes with the Sudbury Neutrino Observatory Phase-III Data Set
• Neutron Beta-Decay as Laboratory for Test of Standard Model
• Radiative corrections to low energy neutrino reactions
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• Solar-neutrino reactions on deuteron in effective field theory
• Constraining the Leading Weak Axial Two-body Current by SNO and Super-K
• Constraints on Two-Body Axial Currents from Reactor Antineutrino-Deuteron Breakup Reactions
• An accurate evaluation of electron (anti-)neutrino scattering on nucleons
• If sterile neutrinos exist, how can one determine the total solar neutrino fluxes?
• Near Threshold Proton-Proton Fusion in Effective Field Theory
• Deficit of reactor antineutrinos at distances smaller than 100 m and inverse beta-decay
• Model dependence of the neutrino-deuteron disintegration cross sections at low energies
• Constraints on Axial Two-Body Currents from Solar Neutrino Data
• Radiative tritium beta-decay and the neutrino mass
• Inclusive neutrino scattering off deuteron at low energies in chiral effective field theory
• Radiative Corrections to the Neutrino-Deuteron Reactions
• Neutrino-deuteron reactions at solar neutrino energies
• Addendum to: Model-dependent and -independent implications of the first Sudbury Neutrino Observatory results
• Complex-energy analysis of proton-proton fusion
• One-Loop Effects in the Neutrino Matter Potential and Implications for Non-Standard Interactions
• Radiative Corrections to Low-Energy Neutrino-Deuteron Reactions Revisited