An analytic implementation of the IR-resummation for the BAO peak
  We develop an analytic method for implementing the IR-resummation of
arXiv:1404.5954, which allows one to correctly and consistently describe the
imprint of baryon acoustic oscillations (BAO) on statistical observables in
large-scale structure. We show that the final IR-resummed correlation function
can be computed analytically without relying on numerical integration, thus
allowing for an efficient and accurate use of these predictions on real data in
cosmological parameter fitting. In this work we focus on the one-loop
correlation function and the BAO peak. We show that, compared with the standard
numerical integration method of IR-resummation, the new method is accurate to
better than 0.2 %, and is quite easily improvable. We also give an approximate
resummation scheme which is based on using the linear displacements of a fixed
fiducial cosmology, which when combined with the method described above, is
about six times faster than the standard numerical integration. Finally, we
show that this analytic method is generalizable to higher loop computations.
