Parton distributions with threshold resummation

Bonvini, Marco; Hartland, Nathan P.; Marzani, Simone; Rojo, Juan; Ubiali, Maria; Carrazza, Stefano; Rottoli, Luca; Ball, Richard D.; Bertone, Valerio

doi:10.1007/JHEP09(2015)191

Article
Report number	arXiv:1507.01006 ; OUTP-15-03P ; MIT-CTP-4657 ; CAVENDISH-HEP-15-02 ; CERN-PH-TH-2015-060 ; EDINBURGH-2015-04 ; TIF-UNIMI-2015-6 ; OUTP-15-03P ; MIT-CTP 4657 ; CAVENDISH-HEP-15-02 ; CERN-PH-TH-2015-060 ; EDINBURGH 2015-04 ; TIF-UNIMI-2015-6
Title	Parton distributions with threshold resummation
Author(s)	Bonvini, Marco (Oxford U., Theor. Phys.) ; Marzani, Simone (MIT, Cambridge, CTP) ; Rojo, Juan (Oxford U., Theor. Phys.) ; Rottoli, Luca (Oxford U., Theor. Phys.) ; Ubiali, Maria (Cambridge U.) ; Ball, Richard D. (U. Edinburgh, Higgs Ctr. Theor. Phys. ; CERN) ; Bertone, Valerio (CERN) ; Carrazza, Stefano (Milan U. ; INFN, Milan) ; Hartland, Nathan P. (Oxford U., Theor. Phys.)
Publication	2015-09-28
Imprint	03 Jul 2015
Number of pages	44
Note	Comments: 43 pages, 16 figures 43 pages, 17 figures, accepted for publication in JHEP
In:	JHEP 09 (2015) 191
DOI	10.1007/JHEP09(2015)191
Subject category	Particle Physics - Phenomenology
Abstract	We construct a set of parton distribution functions (PDFs) in which fixed-order NLO and NNLO calculations are supplemented with soft-gluon (threshold) resummation up to NLL and NNLL accuracy respectively, suitable for use in conjunction with any QCD calculation in which threshold resummation is included at the level of partonic cross sections. These resummed PDF sets, based on the NNPDF3.0 analysis, are extracted from deep-inelastic scattering, Drell-Yan, and top quark pair production data, for which resummed calculations can be consistently used. We find that, close to threshold, the inclusion of resummed PDFs can partially compensate the enhancement in resummed matrix elements, leading to resummed hadronic cross-sections closer to the fixed-order calculation. On the other hand, far from threshold, resummed PDFs reduce to their fixed-order counterparts. Our results demonstrate the need for a consistent use of resummed PDFs in resummed calculations.
Copyright/License	arXiv nonexclusive-distrib. 1.0 publication: © 2015-2024 The Author(s), © 2015-2024 The Author(s) (Licenses: CC-BY-4.0, CC-BY-4.0), sponsored by SCOAP³ preprint: © 2015-2024 CERN (License: CC-BY-4.0)

$\small $\Delta K$-factors Eq.~(\ref{eq:deltaK}) for the neutral current DIS structure function $F_2(x,Q)$, as a function of $x$, for $Q=2$~GeV and $Q=30$~GeV. The plot on the left corresponds to $j=1$, $k=1$ in Eq.~(\ref{eq:deltaK}), i.e.\ NLO and NLL, while the one on the right to $j=2$, $k=2$, i.e.\ NNLO and NNLL. The effect of adding TMCs is shown as a thin solid line.$ $\small Same as Fig.~\ref{fig:DIS-Kfactor} for the NLL (left plot) and NNLL (right plot) resummation of neutral-current Drell-Yan invariant mass distribution at the Tevatron and at the LHC.$ $\small Same as Fig.~\ref{fig:DIS-Kfactor} for the NLL (left plot) and NNLL (right plot) resummation of neutral-current Drell-Yan invariant mass distribution at the Tevatron and at the LHC.$ Show more plots

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