2002/06/30 by S. Ando, Shung-Ichi Ando, Young-Ho Song +6 · 1 citation
Physics and Astronomy · #Coupling constant #Cutoff #Deuterium #Dimensional regularization #Effective field theory #Neutrino #Neutrino Physics Research #Nuclear physics #Nuclear physics research studies #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Radiative transfer #Regularization (linguistics) #Renormalization #hep-ph #nucl-th
paper · pdf · doi:10.1016/s0370-2693(03)00046-7
published as Phys.Lett. B555 (2003) 49-56 · 12 pages, 3 figures. Error estimation of higher order corrections detailed
arxiv created 2003/01/11 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The cross sections for low-energy neutrino–deuteron reactions are calculated within heavy-baryon chiral perturbation theory employing a 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%.