Transverse Momentum Distributions in the Non-Perturbative Region

Details Transverse Momentum Distributions in the Non-Perturbative Region Transverse Momentum Distributions in the Non-Perturbative Region

2010-11-02

arxiv.org/abs/1011.0757v2

Phys.Rev.D84:014030,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 2 figures; typos fixed

Scientific paper

10.1103/PhysRevD.84.014030

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.

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