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Two-loop divergences of scattering amplitudes with massive partons
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We complete the study of two-loop infrared singularities of scattering amplitudes with an arbitrary number of massive and massless partons in non-abelian gauge theories. To this end, we calculate the universal functions F_1 and f_2, which completely specify the structure of three-parton correlations in the soft anomalous-dimension matrix, at two-loop order in closed analytic form. Both functions are found to be suppressed like O(m^4/s^2) in the limit of small parton masses, in accordance with mass factorization theorems proposed in the literature. On the other hand, they are unsuppressed and diverge logarithmically near the threshold for pair production of two heavy particles. As an application, we calculate the two-loop anomalous-dimension matrix for q q_bar --> t t_bar near threshold and show that it is not diagonal in the s-channel singlet-octet basis.
Forward citations
Cited by 9 Pith papers
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Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour
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Two-loop QCD amplitudes for $t\bar{t}W$ production at the LHC in the leading-colour approximation
First two-loop QCD hard functions for ttW production with exact top and W masses in leading colour, evaluated on a 224,640-point grid and cross-checked by an independent calculation.
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Double virtual QCD corrections to $t\bar{t}+$jet production at the LHC
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Two-loop helicity amplitudes for diphoton production with massive quark loop
Two-loop helicity amplitudes for diphoton production with a massive top quark loop are computed, providing new analytic results for gluon fusion and benchmark numbers for both channels.
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Infrared Singularities of Scattering Amplitudes and N$^3$LL Resummation for $n$-Jet Processes
At four-loop order, the soft anomalous dimension for massless n-particle amplitudes contains d_R^{abcd} color structures multiplied by cusp logarithms, which breaks naive Casimir scaling but preserves a generalized scaling.
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Soft Factorisation and Exponentiation from Schwinger-Space Geometry
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Three-loop soft anomalous dimensions for top-quark production
Most three-loop formulas quoted here were already published by the same author; the top-pair three-loop results are explicitly incomplete.
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