Constraining brane inflationary magnetic field from cosmoparticle
  physics after Planck
  In this article, I have studied the cosmological and particle physics
constraints on a generic class of large field ($|\Delta\phi|>M_{p}$) and small
field ($|\Delta\phi<M_{p}$) models of brane inflationary magnetic field from:
(1) tensor-to-scalar ratio ($r$), (2) reheating, (3) leptogenesis and (4)
baryogenesis in case of Randall-Sundrum single braneworld gravity (RSII)
framework. I also establish a direct connection between the magnetic field at
the present epoch ($B_{0}$) and primordial gravity waves ($r$), which give a
precise estimate of non-vanishing CP asymmetry ($\epsilon_{CP}$) in
leptogenesis and baryon asymmetry ($\eta_{B}$) in baryogenesis scenario
respectively. Further assuming the conformal invariance to be restored after
inflation in the framework of RSII, I have explicitly shown that the
requirement of the sub-dominant feature of large scale coherent magnetic field
after inflation gives two fold non-trivial characteristic constraints- on
equation of state parameter ($w$) and the corresponding energy scale during
reheating ($\rho^{1/4}_{rh}$) epoch. Hence giving the proposal for avoiding the
contribution of back-reaction from the magnetic field I have established a
bound on the generic reheating characteristic parameter ($R_{rh}$) and its
rescaled version ($R_{sc}$), to achieve large scale magnetic field within the
prescribed setup and further apply the CMB constraints as obtained from
recently observed Planck 2015 data and Planck+BICEP2+Keck Array joint
constraints. Using all these derived results I have shown that it is possible
to put further stringent constraints on various classes of large and small
field inflationary models to break the degeneracy between various cosmological
parameters within the framework of RSII. Finally, I have studied the
consequences from two specific models of brane inflation- monomial and hilltop.
