Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2012)180
Keywords
NLO Computations; Hadronic Colliders
Categories
Funding
- PSC-CUNY Award [64133-00 42]
- NSF [PHY-1068317]
- German Research Foundation [NE398/3-1, 577401]
- European Commission through LHCPhenoNet Initial Training Network [PITN-GA-2010-264564]
- Schweizer Nationalfonds [200020-141360/1]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1068317] Funding Source: National Science Foundation
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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.
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