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Infrared Factorization, Wilson Lines and the Heavy Quark Limit
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abstract
It is shown that, in QCD, the same universal function $\Gamma_{cusp}(\vartheta, \alpha_\s)$ determines the infrared behaviour of the on-shell quark form factor, the velocity-dependent anomalous dimension in the heavy quark effective field theory (HQET) and the renormalization properties of the vacuum averaged Wilson lines with a cusp. It is demonstrated that a combined use of the methods developed in the relevant different branches of quantum field theory essentially facilitates the all-order study of the asymptotic and analytic properties of this function.
Forward citations
Cited by 4 Pith papers
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Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills
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Energy correlators in four-dimensional gravity
Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.
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Infrared singularities and the collinear limits of multi-leg scattering amplitudes
Using colour conservation and rescaling symmetry, the two-particle collinear constraints are shown to imply multi-particle collinear factorisation through four loops, and a new triple-collinear constraint is derived f...
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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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