arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.4344hep-phhep-exnucl-th
收藏

The Soft Function for Exclusive N-Jet Production at Hadron Colliders

Teppo T. Jouttenus, Iain W. Stewart, Frank J. Tackmann, Wouter J. Waalewijn

英文摘要:

The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section fully differential in the (transverse) mass of each jet, and compute the corresponding soft function at next-to-leading order (NLO). The ultraviolet divergences are analytically extracted by exploiting hemispheres for interactions between each pair of hard partons, leaving only convergent integrals that are sensitive to the precise boundaries. This method can be applied in general to N-jet soft functions, including other observables. For N-jettiness, the final result for the soft function involves stable one-dimensional numerical integrals, and all ingredients are now available to extend NLO cross sections to resummed predictions at next-to-next-to-leading logarithmic order.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑