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Four-loop splitting functions at small x
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DOI：10.1007/JHEP06(2018)145.png)
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摘要
En 中文
We consider the expansion of small-x resummed DGLAP splitting functions at next-to-leading logarithmic (NLL) accuracy to four-loop order, namely next-to-nextto-next-to-leading order ((NLO)-L-3). From this, we extract the exact LL and NLL small-x contributions to the yet unknown (NLO)-L-3 splitting functions, both in the standard MS scheme and in the Q(0)(MS) over bar scheme usually considered in small-x literature. We show that the impact of unknown subleading logarithmic contributions (NNLL and beyond) at (NLO)-L-3 is significant, thus motivating future work towards their computation. Our results will be also needed in future to match NLL resummation to (NLO)-L-3 evolution. In turn, we propose an improved implementation of the small-x resummation and therefore release a new version of the resummation code (HELL 3.0) which contains these changes.
Keyword:
QCD Phenomenology
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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