Phenomenology of renormalons and the OPE from lattice regularization: The gluon condensate and the heavy quark pole mass
Abstract
We study the operator product expansion of the plaquette (gluon condensate) and the selfenergy of an infinitely heavy quark. We first compute their perturbative expansions to order α^{35} and α^{20}, respectively, in the lattice scheme. In both cases we reach the asymptotic regime where the renormalon behavior sets in. Subtracting the perturbative series, we obtain the leading nonperturbative corrections of their respective operator product expansions. In the first case we obtain the gluon condensate and in the second the binding energy of the heavy quark in the infinite mass limit. The results are fully consistent with the expectations from renormalons and the operator product expansion.
 Publication:

Xith Conference on Quark Confinement and Hadron Spectrum
 Pub Date:
 January 2016
 DOI:
 10.1063/1.4938616
 arXiv:
 arXiv:1502.00086
 Bibcode:
 2016AIPC.1701c0010B
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 Talk given at the 11th Conference Quark Confinement and the Hadron Spectrum, September 812, 2014, SaintPetersburg, Russia