  We present a study of coherent pion production in neutrino-nucleus
interactions using the formalism based on partially conserved axial current
theorem which connects the neutrino-nucleus cross section to the pion-nucleus
elastic scattering cross section. Pion-nucleus elastic scattering cross section
is calculated using Glauber model which takes three inputs, nuclear densities,
pion-nucleon cross section and $\alpha_{\pi N}$ which is the ratio of real to
imaginary part of $\pi N$ forward scattering amplitude, for which the
parametrizations are obtained from measured data. We calculate the differential
and integrated cross sections for charge and neutral current coherent pion
production in neutrino (anti-neutrino)-nucleus scattering for a range of
nuclear targets from light to heavy materials such as lithium, carbon,
hydrocarbon, oxygen, silicon, argon, iron and lead. The results of these cross
section calculations are compared with the measured data and with the
calculations from the Berger-Sehgal model and GENIE package. There is an
excellent agreement between the calculated and measured cross sections with
Glauber model. While GENIE and Berger-Sehgal model give a good description of
the data in the lower energy range the present calculations describe the data
in all energy ranges. Predictions are also made for upcoming experiments like
INO and DUNE in the coherent region of neutrino cross section.
