Phenomenology of combined resummation for Higgs and Drell-Yan
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Springer
Received: July 23, Revised: October 6, Accepted: November 2, Published: December 10,
2020 2020 2020 2020
Tanjona R. Rabemananjara Tif Lab, Dipartimento di Fisica, Università di Milano, and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy
E-mail: [email protected] Abstract: We study the phenomenological impact of a recently suggested formalism for the combination of threshold and a so-called threshold-improved transverse momentum resummation, by using it to improve the fixed-order results. This formalism allows for a systematic improvement of the transverse momentum resummation that is valid in the entire range of pT by the inclusion of the threshold contribution. We use the Borel method as a suitable prescription for defining the inverse Mellin and Fourier transforms in the context of combined resummed expression. The study is applied to two QCD processes, namely the Higgs boson produced via gluon fusion and Z boson production via the Drell-Yan mechanism. We compare our results to the standard transverse momentum resummation, as well as to the fixed-order results. We find that the threshold-improved transverse momentum resummation leads to faster perturbative convergence at small pT while the inclusion of threshold resummation improves the agreement with fixed-order calculations at medium and large pT . These effects are more pronounced in the case of Higgs which is known to have slower perturbative convergence. Keywords: QCD Phenomenology ArXiv ePrint: 2007.09164
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP12(2020)073
JHEP12(2020)073
Phenomenology of combined resummation for Higgs and Drell-Yan
Contents 1 Introduction
1 2 3 5 8 8 9 12
3 Phenomenological studies 3.1 Threshold-improved pT resummation in the large-ˆb limit 3.2 Higgs boson production at LHC and DY production at Tevatron
14 14 15
4 Conclusions
18
1
Introduction
The current state-of-the-art accuracy in resummed calculations of transverse momentum spectra is N3 LL matched with fixed-order predictions (NLO/NNLO), and has been achieved recently for a variety of processes including Higgs boson production [1–3], and Drell-Yan (DY) [4–9]. Since large logarithmic corrections present in transverse momentum and threshold resummation both originate from the emission of soft gluons, there have been attempts to construct a joint formalism that simultaneously resum logarithmic contributions that are enhanced at small pT and at partonic threshold [10, 11]. Such a joint resummation has been successful in producing phenomenological results at NLL accuracy for various processes including Higgs [12] and vector boson production via DY mechanism [13] which has been recently extended to NNLL [14]. While the aforementioned resummations were done in Fourier-Mellin space, joint resummation in direct space has been achieved up to NNLL accuracy using SCET [15]. In these references, however, the inclusion of soft contributions were not fully complete as will be discussed in this paper.
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