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Renormalization-Group Improved Resummation of Super-Leading Logarithms
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abstract
A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This represents an important improvement over previous approaches, as it allows for the consistent inclusion of the scale dependence of the strong coupling, thereby providing more reliable estimates of the scale uncertainties in theoretical predictions. The key idea is to rearrange the relevant RG evolution operator in such a way that all double-logarithmic corrections are exponentiated from the outset. This forms the starting point for the first resummation of super-leading logarithms at leading order in RG-improved perturbation theory for arbitrary $2\to M$ scattering processes. Moreover, the asymptotic scaling of subleading logarithmic corrections from higher-order Glauber exchanges is determined, demonstrating their parametric suppression.
Forward citations
Cited by 2 Pith papers
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Off-shell form factor: factorization is violated
At three loops, the off-shell Sudakov form factor in N=4 super Yang-Mills on the Coulomb branch violates multiplicative hard-collinear-ultrasoft factorization, with collinear and ultrasoft modes intertwined.
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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.
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