We study the transverse momentum of the leading jet in the limit where the jet radius is small, R ≪ 1. We introduce the leading-jet function to calculate this cross section for an inclusive jet sample, and the subleading-jet function when a loose veto on additional jets is imposed, i.e. PTJ > ~ P T veto $$ {}_{PTJ}{\underset{\sim }{>}}_{P_T^{\mathrm{veto}}} $$ . These jet functions are calculated at next-to-leading order in QCD and the resummation of jet radius logarithms is explored. We present phenomenological results for Higgs + 1 jet production, for both the jet and Higgs transverse momentum distribution. We find that, while the R ≪ 1 limit of the cross section provides a good description of the full NLO result, even for values as large as R = 0 . 8, simply retaining the leading logarithm at this order does not. Indeed, the NLO contribution to the hard function and, to a lesser extent, non-logarithmic corrections to the jet function are sizable and must be included to obtain the correct cross section. In the inclusive cross section we find that the α s 2 $$ {\alpha}_s^2 $$ ln 2 R corrections are several precent, while in exclusive cross sections at large p T ,J and small R they can reach 20%. However, it is not clear how important the resummation of these logarithms is, given the presence of other large corrections at NNLO.

中文翻译：

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包含射流生产中的领先射流横向动量和松散的射流否决权

我们研究了在射流半径很小的极限内前导射流的横向动量，R ≪ 1。我们引入了前导射流函数来计算包含射流样本的横截面，以及当松散的射流样本时的次前导射流函数对附加喷气机施加否决权，即 PTJ > ~ PT 否决 $$ {}_{PTJ}{\underset{\sim }{>}}_{P_T^{\mathrm{veto}}} $$ 。这些射流函数在 QCD 中按次于领先的顺序计算，并探索了射流半径对数的求和。我们展示了 Higgs + 1 射流产生的现象学结果，包括射流和希格斯横向动量分布。我们发现，尽管横截面的 R ≪ 1 限制提供了对完整 NLO 结果的良好描述，即使对于 R = 0 大的值也是如此。8、简单地保留这个顺序的前导对数是不行的。确实，NLO 对硬函数的贡献以及在较小程度上对喷射函数的非对数校正是相当大的，必须包括在内以获得正确的横截面。在包含横截面中，我们发现 α s 2 $$ {\alpha}_s^2 $$ ln 2 R 修正是几个百分比，而在大 p T ，J 和小 R 的独家横截面中，它们可以达到 20% . 然而，鉴于 NNLO 存在其他大的修正，目前尚不清楚这些对数的求和有多重要。J和小R他们可以达到20%。然而，鉴于 NNLO 存在其他大的修正，目前尚不清楚这些对数的求和有多重要。J和小R他们可以达到20%。然而，鉴于 NNLO 存在其他大的修正，目前尚不清楚这些对数的求和有多重要。