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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1002/masy.200551410

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1029-8479

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On form factors in mathcalN = 4 SYM

Authors: L V Bork D I Kazakov G S Vartanov
Publish Date: 2011/02/14
Volume: 2011, Issue: 2, Pages: 63-
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Abstract

In this paper we study the form factors for the halfBPS operators mathcalO In and the mathcalN = 4 stresstensor supermultiplet T AB up to the second order of perturbation theory and for the Konishi operator mathcalK at first order of perturbation theory in the mathcalN = 4 SYM theory at weak coupling For all the objects we observe the exponentiation of the IR divergences with two anomalous dimensions the cusp anomalous dimension and the collinear anomalous dimension For the IR finite parts we obtain a similar situation as for the gluon scattering amplitudes namely apart from the case of T AB and mathcalK the finite part has some remainder function which we calculate up to the second order It involves the generalized Goncharov polylogarithms of several variables All the answers are expressed in terms of the integrals related to the dual conformal invariant ones which might be a signal of integrable structure standing behind the form factors

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