Second-order contributions to the non-exotic light hybrid meson correlation function (J^{PC}=1^{--}) in the chiral limit

Abstract

Elementary particles form hadrons through the strong interaction; one interpretation of a possible hadron bound-state is a hybrid meson which is composed of a quark-antiquark pair and gluonic content. Non-exotic hybrid mesons share spin J, parity P and charge conjugation C quantum numbers with quark-antiquark states while exotic hybrids do not. Aspects of particle physics, strong interactions, and quantum field theory necessary for calculating the correlation function for a hybrid meson will be reviewed. In particular, the perturbative part of the correlation function for a hybrid meson with JPC=1-- will be formulated in terms of Feynman rules and diagrams and calculated to next-to-leading order in the light (massless) quark case. Assuming the hybrid current renormalizes multiplicative, the next-to-leading order effects are found to be large, and are potentially important for future determinations of the light-quark non-exotic hybrid meson.