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2007

Threshold resummation to any order in (1-x)

Grunberg, Georges

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A simple ansatz is suggested for the structure of threshold resummation of the momentum space physical evolution kernels (`physical anomalous dimensions') at all orders in (1-x), taking as examples Deep Inelastic Scattering (F_2(x, Q^2) and F_L(x, Q^2)) and the Drell-Yan process.

Each term in the expansion is associated to a distinct renormalization group and scheme invariant perturbative object (`physical Sudakov anomalous dimension') depending on a single momentum scale variable.
Both logarithmically enhanced terms and constant terms are captured by the ansatz at any order in the expansion.
The ansatz is motivated by a large--beta_0 dispersive calculation.

Threshold resummation to any order in (1-x) · Around

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