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Evolution kernels of skewed parton distributions: method and two-loop results

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arxiv hep-ph/9912379 v1 pith:7DCAZZMO submitted 1999-12-16 hep-ph

A.V. Belitsky , A. Freund , D. Müller This is my paper · ORCID
classification hep-ph
keywords conformalkernelsbreakingdistributionsevolutionexplicitpartonrelations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a formalism and explicit results for two-loop flavor singlet evolution kernels of skewed parton distributions in the minimal subtraction scheme. This approach avoids explicit multiloop calculations in QCD and is based on the known pattern of conformal symmetry breaking in this scheme as well as constraints arising from the graded algebra of the $\cN = 1$ super Yang-Mills theory. The conformal symmetry breaking part of the kernels is deduced from commutator relations between scale and special conformal anomalies while the symmetric piece is recovered from the next-to-leading order splitting functions and $\cN = 1$ supersymmetry relations.

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Cited by 4 Pith papers

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  3. Generalized parton distributions of the kaon and pion within the nonlocal chiral quark model

    hep-ph 2024-11 conditional novelty 6.0 of 10

    The paper extends the nonlocal chiral quark model to strange quarks and computes kaon and pion generalized parton distributions, their QCD evolution, and strange-to-light gravitational form factor ratios.

  4. Kernel methods for evolution of generalized parton distributions

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Finite-element discretization turns GPD Q2 evolution into differentiable matrix multiplications; the new tiktaalik code reproduces PARTONS/APFEL++ at about 1% for LO evolution over most of x.

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