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arXiv · 1610.05791

Soft-/rapidity- anomalous dimensions correspondence

Alexey A. Vladimirov
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Abstract

We establish a correspondence between ultraviolet singularities of soft factors for multiparticle production and rapidity singularities of soft factors for multiparton scattering. This correspondence is a consequence of the conformal mapping between scattering geometries. The correspondence is valid to all orders of perturbation theory and in this way provides one with a proof of rapidity renormalization procedure for multiparton scattering (including the transverse momentum dependent (TMD) factorization as a special case). As a by-product, we obtain an exact relation between the rapidity anomalous dimension and the well-known soft anomalous dimension. The three-loop expressions for TMD and a general multiparton scattering rapidity anomalous dimension are derived.

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Alexey A. Vladimirov. 2017-02-23. Soft-/rapidity- anomalous dimensions correspondence. https://doi.org/10.1103/physrevlett.118.062001

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