Derives resummed coefficient functions for SIDIS in double-soft and single-soft threshold limits, with explicit NNLL coefficients extracted in the nonsinglet channel by matching to fixed-order results.
Renormalization group approach to soft gluon resummation
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abstract
We present a simple proof of the all-order exponentiation of soft logarithmic corrections to hard processes in perturbative QCD. Our argument is based on proving that all large logs in the soft limit can be expressed in terms of a single dimensionful variable, and then using the renormalization group to resum them. Beyond the next-to-leading log level, our result is somewhat less predictive than previous all-order resummation formulae, but it does not rely on non-standard factorization, and it is thus possibly more general. We use our result to settle issues of convergence of the resummed series, we discuss scheme dependence at the resummed level, and we provide explicit resummed expressions in various factorization schemes.
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hep-ph 4representative citing papers
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.
Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.
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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Threshold resummation of Semi-Inclusive Deep-Inelastic Scattering
Derives resummed coefficient functions for SIDIS in double-soft and single-soft threshold limits, with explicit NNLL coefficients extracted in the nonsinglet channel by matching to fixed-order results.
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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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PDF evolution in alternative factorisation schemes
Derives NLO splitting functions and anomalous dimensions for PDFs in alternative factorization schemes and interprets their leading x-behavior as a modified effective evolution scale.
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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.