A three-loop Glauber contribution to low-energy soft-collinear matrix elements exactly cancels the collinear factorization-violating terms, so DGLAP running and PDF factorization are consistent with super-leading logarithms.
Loop Corrections to Heavy-to-Light Form Factors and Evanescent Operators in SCET
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abstract
One-loop matching corrections are calculated for Soft-Collinear Effective Theory (SCET) operators relevant to the analysis of heavy-to-light meson form factors at large recoil. The numerical impact of radiative corrections on form factor predictions is assessed. Evanescent operators in the effective theory are studied and it is shown that even in problems of the Sudakov type, these operators can be renormalized to have vanishing matrix elements.
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Low-energy theory of jet processes and PDF factorization
A three-loop Glauber contribution to low-energy soft-collinear matrix elements exactly cancels the collinear factorization-violating terms, so DGLAP running and PDF factorization are consistent with super-leading logarithms.