In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates between cusp and octagon anomalous dimensions, with proposed all-loop expressions relying
Sudakov Factorization and Resummation
5 Pith papers cite this work, alongside 272 external citations. Polarity classification is still indexing.
5
Pith papers citing it
272
external citations · Pith
abstract
We present a unified derivation of the resummation of Sudakov logarithms, directly from the factorization properties of cross sections in which they occur. We rederive in this manner the well-known exponentiation of leading and nonleading logarithmic enhancements near the edge of phase space for cross sections such as deeply inelastic scattering, which are induced by an electroweak hard scattering. For QCD hard-scattering processes, such as heavy-quark production, we show that the resummation of nonleading logarithms requires in general mixing in the space of the color tensors of the hard scattering. The exponentiation of Sudakov logarithms implies that many weighted cross sections obey particular evolution equations in momentum transfer, which streamline the computation of their Sudakov exponents. We illustrate this method with the resummation of soft-gluon enhancements of the inclusive Drell-Yan cross section, in both DIS and $\overline{{\rm MS}}$ factorization schemes.
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A pedagogical review that derives threshold (Sudakov) resummation from renormalization-group invariance and shows equivalent forms of the resummed result.
citing papers explorer
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Walking Sudakov: From Cusp to Octagon
In a novel scaling limit on the Coulomb branch of planar N=4 SYM, the Sudakov form factor and four-point amplitude exhibit double-logarithmic behavior governed by a walking anomalous dimension that interpolates between cusp and octagon anomalous dimensions, with proposed all-loop expressions relying
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Threshold resummation of rapidity distributions at fixed partonic rapidity
A general all-order expression for threshold resummation of rapidity distributions at fixed partonic rapidity is derived for colorless final states, with NNLL coefficients determined from NNLO Drell-Yan results and shown to match a translated SCET result.
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QCD for electroweak precision measurements: Foundations
QCD collinear factorization, DGLAP evolution, and QT resummation, developed via DIS and Drell-Yan, form the calculational foundation for precision electroweak observables and new-physics searches.
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A simple introduction to soft resummation
A pedagogical review that derives threshold (Sudakov) resummation from renormalization-group invariance and shows equivalent forms of the resummed result.