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Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription

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arxiv 0904.2727 v3 pith:IA7UHGLK submitted 2009-04-17 hep-ph

Renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription

classification hep-ph
keywords gaugelight-conemandelstam-leibbrandtprescriptionanomalousdependentdimensiondistribution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The renormalization-group properties of transverse-momentum dependent parton distribution functions in the light-cone gauge with the Mandelstam-Leibbrandt prescription for the gluon propagator are addressed. An expression for the transverse component of the gauge field at light-cone infinity, which plays a crucial role in the description of the final-/initial-state interactions in the light-cone axial gauge, is obtained. The leading-order anomalous dimension is calculated in this gauge and the relation to the results obtained in other gauges is worked out. It is shown that, using the Mandelstam-Leibbrandt prescription, the ensuing anomalous dimension does not receive contributions from extra rapidity divergences related to a cusped junction point of the Wilson lines.

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    hep-ph 2026-06 unverdicted novelty 5.0

    One-loop quark TMD calculation in projectile light-cone gauge produces CSS evolution equations whose rapidity structure is compared to the target gauge result.