Analytic Reconstruction of heavy-quark two-point functions at O(\alpha_s^3)
High Energy Physics - Phenomenology
2013-05-30 v1 High Energy Physics - Lattice
Abstract
Using a method previously developed, based on the Mellin-Barnes transform, we reconstruct the two-point correlators in the vector, axial, scalar and pseudoscalar channels from the Taylor expansion at q^2=0, the threshold expansion at q^2=4m^2 and the OPE at q^2\rightarrow -\infty, where m is the heavy quark mass. The reconstruction is analytic and systematic and is controlled by an error function which becomes smaller as more terms in those expansions are known.
Keywords
Cite
@article{arxiv.1104.3425,
title = {Analytic Reconstruction of heavy-quark two-point functions at O(\alpha_s^3)},
author = {David Greynat and Pere Masjuan and Santiago Peris},
journal= {arXiv preprint arXiv:1104.3425},
year = {2013}
}
Comments
19 pages, 11 figures