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45

Sep 20, 2013
09/13

by
Aude Gehrmann-De Ridder; Thomas Gehrmann; Mathias Ritzmann

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The antenna subtraction method handles real radiation contributions in higher order corrections to jet observables. The method is based on antenna functions, which encapsulate all unresolved radiation between a pair of hard radiator partons. To apply this method to compute hadron collider observables, initial-initial antenna functions with both radiators in the initial state are required in unintegrated and integrated forms. In view of extending the antenna subtraction method to...

Source: http://arxiv.org/abs/1207.5779v1

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42

Sep 18, 2013
09/13

by
Aude Gehrmann-De Ridder; Thomas Gehrmann; E. W. N. Glover; Joao Pires

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We use the antenna subtraction method to isolate the double virtual infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. In previous papers, we derived the subtraction terms that rendered (a) the double real radiation tree-level process finite in the single and double unresolved regions of phase space and (b) the mixed single real radiation one-loop process both finite and well behaved in the unresolved regions of phase space. Here, we show how to...

Source: http://arxiv.org/abs/1211.2710v1

57
57

Sep 22, 2013
09/13

by
Thomas Gehrmann; Gionata Luisoni; Pier Francesco Monni

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In the context of the dispersive model for non-perturbative corrections, we extend the leading renormalon subtraction to NNLO for the thrust distribution in $e^+e^-$ annihilation. Within this framework, using a NNLL+NNLO perturbative description and including bottom quark mass effects to NLO, we analyse data in the centre-of-mass energy range $\sqrt{s}=14-206$ GeV in view of a simultaneous determination of the strong coupling constant and the non-perturbative parameter $\alpha_0$. The fits are...

Source: http://arxiv.org/abs/1210.6945v2

51
51

Sep 18, 2013
09/13

by
Thomas Gehrmann; Thomas Lübbert; Li Lin Yang

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We present a calculation of the perturbative quark-to-quark transverse parton distribution function at next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate for the first time that such a definition works beyond the first non-trivial order. We extract from our calculation the coefficient functions relevant for a next-to-next-to-next-to-leading logarithmic $Q_T$ resummation in a large class of processes at hadron colliders.

Source: http://arxiv.org/abs/1209.0682v2