Solar-neutrino reactions on deuteron in effective field theory

Abstract

The cross sections for low-energy neutrino-deuteron reactions are calculated within heavy-baryon chiral perturbation theory employing cut-off regularization scheme. The transition operators are derived up to next-to-next-to-next-to-leading order in the Weinberg counting rules, while the nuclear matrix elements are evaluated using the wave functions generated by a high-quality phenomenological NN potential. With the adoption of the axial-current-four-nucleon coupling constant fixed from the tritium beta decay data, our calculation is free from unknown low-energy constants. Our results exhibit a high degree of stability against different choices of the cutoff parameter, a feature which indicates that, apart from radiative corrections, the uncertainties in the calculated cross sections are less than 1 %.

12 pages, 3 figures. Error estimation of higher order corrections detailed

References in corpus (8)

• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Neutrino-deuteron reactions at solar neutrino energies
• The ${\mu }^{-}d$ capture rate in effective field theory
• Radiative corrections in neutrino-deuterium disintegration
• On the Normalization of the Neutrino-Deuteron Cross Section
• Offshell effects in electromagnetic reactions on the deuteron

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