Transverse Momentum Distributions in the Non-Perturbative Region
Abstract
We study the low transverse momentum (p_T) distribution of the Z-boson at hadron colliders for p_T ~ Lambda_{QCD} using a factorization and resummation formula derived in the Soft Collinear Effective Theory (SCET). In the region p_T ~ Lambda_{QCD}, new non-perturbative effects arise that cannot be entirely captured by the standard parton distribution functions, and require an additional new non-perturbative transverse momentum function (TMF). The TMF is field-theoretically defined in SCET, fully gauge invariant, and captures the non-perturbative dynamics that affects the p_T-distribution in the region p_T ~ Lambda_{QCD}. The TMF also reduces to the expected perturbative result in the region p_T >> Lambda_{QCD}. We develop phenomenological models for these TMFs in the non-perturbative region and present example fits to the available data.
Keywords
Cite
@article{arxiv.1011.0757,
title = {Transverse Momentum Distributions in the Non-Perturbative Region},
author = {Sonny Mantry and Frank Petriello},
journal= {arXiv preprint arXiv:1011.0757},
year = {2011}
}
Comments
13 pages, 2 figures; typos fixed