  We calculate the neutrino production cross-section through the direct URCA
process in proto-neutron star matter in the presence of a strong magnetic
field. We assume isoentropic conditions and introduce a new equation of state
parameter-set in the relativistic mean-field approach that can reproduce
neutron stars with $M > 1.96$ M$_\odot$ as required by observations. We find
that the production process increases the flux of emitted neutrinos along the
direction parallel to the magnetic field and decreases the flux in the opposite
direction. This means that the neutrino flux asymmetry due to the neutrino
absorption and scattering processes in a magnetic field becomes larger by the
inclusion of the neutrino production process.
