Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2013)125
Keywords
Higgs Physics; Resummation; QCD
Categories
Funding
- National Science Foundation [NSF PHY11-25915]
- Swiss National Science Foundation (SNF) [200020-140978]
- ERC [EFT4LHC]
- Cluster of Excellence Precision Physics
- Fundamental Interactions and Structure of Matter [PRISMA-EXC 1098]
- German Research Foundation (DFG) [NE 398/3-1]
- German Federal Ministry for Education and Research (BMBF) [05H09UME, 05H12UME]
- Rhineland-Palatinate Research Center Elementary Forces and Mathematical Foundations
- Swiss National Science Foundation (SNF) [200020_140978] Funding Source: Swiss National Science Foundation (SNF)
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We have recently derived a factorization formula for the Higgs-boson production cross section in the presence of a jet veto, which allows for a systematic resummation of large Sudakov logarithms of the form alpha(n)(s) ln(m) (p(T)(veto)/m(H)), along with the large virtual corrections known to affect also the total cross section. Here we determine the ingredients entering this formula at two-loop accuracy. Specifically, we compute the dependence on the jet-radius parameter R, which is encoded in the two-loop coefficient of the collinear anomaly, by means of a direct, fully analytic calculation in the framework of soft-collinear effective theory. We confirm the result obtained by Banfi et al. from a related calculation in QCD, and demonstrate that factorization-breaking, soft-collinear mixing effects do not arise at leading power in p(T)(veto)/m(H), even for R = O(1). In addition, we extract the two-loop collinear beam functions numerically. We present detailed numerical predictions for the jet-veto cross section with partial next-to-next-to-next-to-leading logarithmic accuracy, matched to the next-to-next-to-leading order cross section in fixed-order perturbation theory. The only missing ingredients at this level of accuracy are the three-loop anomaly coefficient and the four-loop cusp anomalous dimension, whose numerical effects we estimate to be small.
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