Effect of Intermediate Vector Mesons on Neutrino Production of Lepton Pairs
- 25 February 1966
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 142 (4), 1018-1024
- https://doi.org/10.1103/physrev.142.1018
Abstract
The total cross section for the production of lepton pairs by the scattering of high-energy muon neutrinos and protons is calculated with an assumed weakly interacting vector meson which has an anomalous magnetic moment . We use a modified Weizsäcker-Williams approximation, with added correction terms which change the result about 50%. In addition to these correction terms, we keep , the square of the four-momentum of the exchanged photon, in the denominator of the lepton propagators. This results in an additional deviation of 30% from the standard Weizsäcker-Williams approximation. The cross sections are calculated as a function of for meson masses of 2.0, 2.5, and 3.0 BeV, and for neutrino energies above the threshold for production. Numerical results are presented for , 0, -1. The cross sections for muon-pair and muon-electron production are equal, and larger by a factor of approximately than the equivalent cross sections in the four-fermion theory.
Keywords
This publication has 13 references indexed in Scilit:
- Nonleptonic Decays of the Intermediate Vector MesonPhysical Review B, 1966
- Search for Intermediate Bosons in High-Energy Neutrino InteractionsPhysical Review Letters, 1965
- The photon-pole approximation in pair production processesIl Nuovo Cimento (1869-1876), 1965
- Electromagnetic Structure of the Neutron and ProtonPhysical Review Letters, 1964
- Neutrino Production of Muon Pairs Through a Direct Four-Fermion CouplingPhysical Review Letters, 1964
- The interactions of unstable particlesIl Nuovo Cimento (1869-1876), 1963
- One-photon exchange processes and radiative correctionsIl Nuovo Cimento (1869-1876), 1963
- Theory of Charged Vector Mesons Interacting with the Electromagnetic FieldPhysical Review B, 1962
- Implications of the Intermediate Boson Basis of the Weak Interactions: Existence of a Quartet of Intermediate Bosons and Their Dual Isotopic Spin Transformation PropertiesPhysical Review B, 1960
- Unstable Particles as Targets in Scattering ExperimentsPhysical Review B, 1959