Zero-bin subtraction and the q_T spectrum beyond leading power
arxiv(2023)
摘要
In this paper, we present an algorithm to construct the qT distribution at
NLO accuracy to arbitrary power precision, including the assembly of suitable
zero-bin subtrahends, in a mathematically well-defined way for a generic choice
of rapidity-divergence regularisation prescription. In its derivation, we
divide the phase space into two sectors, the interior of the integration domain
as well as the integration boundary, which we include here for the first time.
To demonstrate the applicability and usefulness of our algorithm, we calculate
the NNLP corrections for Higgs hadroproduction for the first time. We observe
that our approximate NNLP-accurate qT spectra replicate the asymptotic
behaviour of the full QCD calculation to a much better degree than the
previously available results, both within the q_T→ 0 limit and
in the large-qT domain for all the involved partonic processes. While playing a
minor role at larger transverse momenta, we show that the newly incorporated
boundary contribution plays a vital role in the q_T→ 0 limit,
where any subleading power accuracy would be lost without them. In particular,
our NNLP-accurate qT expansion can approximate the exact qT distribution up to
q_T∼30 GeV at the percent level for rapidities
|Y_H|≲ 3.
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