Double-real radiation in hadronic top quark pair production as a proof of a certain concept

By Michal Czakon. 2011

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Abstract Using the recently introduced Stripper approach to double-real radiation, we evaluate the total cross sections for the main partonic channels of the next-to-next-to-leading order contributions to top quark pair production in hadronic collisions: g g → t t ¯ g g , g g → t t ¯ q q ¯ , q q ¯ → t t ¯ g g , q q ¯ → t t ¯ q ′ q ¯ ′ , q ′ ≠ q . The results are given as Laurent expansions in ϵ , the parameter of dimensional regularization, at a number of m / E CM values spreading the entire variation range, with m the mass of the top quark and E CM the center-of-mass energy. We describe the details of our implementation and demonstrate its main properties: pointwise convergence and efficiency. We also prove the cancellation of leading divergences after inclusion of the double-virtual and real–virtual contributions. On a more technical note, we extended the double-soft current formulae to the case of massive partons.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5405df13f831029db63e7465784ff6e836a8f792

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In Nuclear and High Energy Physics

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  4. M. Schönherr
  5. A. Larkoski
  6. I. Moult
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