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The NNLO soft function for the pair invariant mass distribution of boosted top quarks.

Ferroglia, Andrea; Pecjak, Ben D.; Yang, Li Lin

Authors

Andrea Ferroglia

Li Lin Yang



Abstract

At high values of the pair invariant mass the differential cross section for top-quark pair production at hadron colliders factorizes into soft, hard, and fragmentation functions. In this paper we calculate the next-to-next-to-leading-order (NNLO) corrections to the soft function appearing in this factorization formula, thus providing the final piece needed to evaluate at NNLO the differential cross section in the virtual plus soft approximation in the large invariant-mass limit. Technically, this amounts to evaluating the vacuum expectation value of a soft Wilson loop operator built out of light-like Wilson lines for each of the four partons participating in the hard scattering process, with a certain constraint on the total energy of the soft radiation. Our result turns out to be surprisingly simple, because in the sum of all graphs the three and four parton contributions multiply color structures whose coefficients are governed by the non-abelian exponentiation theorem.

Citation

Ferroglia, A., Pecjak, B. D., & Yang, L. L. (2012). The NNLO soft function for the pair invariant mass distribution of boosted top quarks. Journal of High Energy Physics, 2012(10), Article 180. https://doi.org/10.1007/jhep10%282012%29180

Journal Article Type Article
Publication Date 2012-10
Deposit Date Nov 20, 2012
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2012
Issue 10
Article Number 180
DOI https://doi.org/10.1007/jhep10%282012%29180