NNLO hard functions in massless QCD

Broggio, Alessandro; Ferroglia, Andrea; Pecjak, Ben D.; Zhang, Zhibai

doi:10.1007/jhep12(2014)005

Cited by 39 publications

(48 citation statements)

References 40 publications

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“…We stress further that, in order to fully take into account also the fifth tower α k s ln 2k−4N at NNLL, one would need to know the full matrices H (2) and S (2) and perform a matching to NNLO. Although H (2) became available very recently [15], this is beyond the scope of the present work.…”

Section: Color Trace Contributionmentioning

confidence: 96%

“…Resummation studies beyond NLL have been presented in the context of top quark pair production [12,13], for single-inclusive hadron production [11], and for squark and gluino production [14]. At present, full NNLL resummation in the sense described above is not yet possible for most processes, since the required two-loop matching coefficients are usually not yet available (see, however, the recent calculation [15] for massless scattering). Nonetheless, already with knowledge of the one-loop matching coefficients an improvement of the resummation framework becomes possible, providing control of four (instead of five at full NNLL) towers in the partonic cross sections.…”

Section: Introductionmentioning

confidence: 99%

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Toward NNLL threshold resummation for hadron pair production in hadronic collisions

et al. 2015

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We investigate QCD threshold resummation effects beyond the next-to-leading logarithmic (NLL) order for the process H 1 H 2 → h 1 h 2 X at high invariant mass of the produced hadron pair. We take into account the color structure of the underlying partonic hard-scattering cross sections and determine the relevant hard and soft matrices in color space that contribute to the resummed cross section at next-to-next-to-leading logarithmic (NNLL) accuracy. We present numerical results for fixed-target and collider regimes. We find a significant improvement compared to previous results at NLL accuracy. In particular, the scale dependence of the resummed cross section is greatly reduced. Use of the most recent set of fragmentation functions also helps in improving the comparison with the experimental data. Our calculation provides a step towards a systematic NNLL extension of threshold resummation also for other hadronic processes, in particular for jet production.

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Section: Color Trace Contributionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Toward NNLL threshold resummation for hadron pair production in hadronic collisions

et al. 2015

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“…At the moment, the four coefficient functions are known to NNLO [5,7,8], while the two evolution factors are known to next-to-next-to-leading logarithmic (NNLL) accuracy [5]. Such a level of accuracy is usually referred to as NNLL 0 in the literature, and we adopt that nomenclature here.…”

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confidence: 99%

Resummed Differential Cross Sections for Top-Quark Pairs at the LHC

et al. 2016

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Reprinted with permission from the American Physical Society: Physical Review Letters 116, 202001 c (2016) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modi ed, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

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“…Since the final expression is rather lengthy, we refer the reader to [9], where a detailed derivation is presented. Note that a similar calculation within the framework of SCET was carried out in [26,27] and very recently in [28]. The soft matrix S…”

Section: Hard and Soft Matricesmentioning

confidence: 87%

Toward NNLL Resummation for Single- and Di-Hadron Production in Hadronic Collisions

Ringer¹,

Vogelsang²,

Sterman³

et al. 2016

Proceedings of QCD Evolution 2015 — PoS(QCDEV2015)

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We present results relevant for the extension of threshold resummation beyond the next-to-leading logarithmic (NLL) order for QCD hard-scattering processes. As an example, we consider dihadron production H 1 H 2 → h 1 h 2 X, where the produced pair has a large invariant mass. Taking into account the non-trivial color structure of the partonic hard-scattering process, we determine the hard and soft matrices in color space. In our numerical studies we find a significant improvement compared to previous results at NLL accuracy. In particular, the scale dependence of the resummed cross section is greatly reduced. In addition, we comment on the extension of the techniques developed in this work to other observables relevant for hadronic collisions.

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NNLO hard functions in massless QCD

Cited by 39 publications

References 40 publications

Toward NNLL threshold resummation for hadron pair production in hadronic collisions

Toward NNLL threshold resummation for hadron pair production in hadronic collisions

Resummed Differential Cross Sections for Top-Quark Pairs at the LHC

Toward NNLL Resummation for Single- and Di-Hadron Production in Hadronic Collisions

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