Transverse Momentum Distributions in the Non-Perturbative Region
Abstract
We study the low transverse momentum (pT) distribution of the Z-boson at hadron colliders for pT ~ LambdaQCD using a factorization and resummation formula derived in the Soft Collinear Effective Theory (SCET). In the region pT ~ LambdaQCD, 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 pT-distribution in the region pT ~ LambdaQCD. The TMF also reduces to the expected perturbative result in the region pT >> LambdaQCD. We develop phenomenological models for these TMFs in the non-perturbative region and present example fits to the available data.
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