Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 9, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP09(2012)117
Keywords
Jets
Categories
Funding
- Office of High Energy Physics of U.S. Department of Energy [DE-AC02-05CH11231, DE-SC003916]
- LHC Theory Initiative Postdoctoral Fellowship, under National Science Foundation [PHY-0705682]
- Direct For Mathematical & Physical Scien
- Division Of Physics [705682] Funding Source: National Science Foundation
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Most recombination-style jet algorithms cluster soft gluons in a complex way. This leads to previously identified correlations in the soft gluon phase space and introduces logarithmic corrections to jet cross sections, which are known as clustering logarithms. The leading Abelian clustering logarithms occur at least at next-to leading logarithm (NLL) in the exponent of the distribution. Using the framework of Soft Collinear Effective Theory (SCET), we show that new clustering effects contributing at NLL arise at each order. While numerical resummation of clustering logs is possible, it is unlikely that they can be analytically resummed to NLL. Clustering logarithms make the anti-k(T) algorithm theoretically preferred, for which they are power suppressed. They can arise in Abelian and non-Abelian terms, and we calculate the Abelian clustering logarithms at O(alpha(2)(s)) for the jet mass distribution using the Cambridge/Aachen and k(T) algorithms, including jet radius dependence, which extends previous results. We find that clustering logarithms can be naturally thought of as a class of non-global logarithms, which have traditionally been tied to non-Abelian correlations in soft gluon emission.
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