Factorization for the light-jet mass and hemisphere soft function

Becher, Thomas; Pecjak, Benjamin D.; Shao, Ding Yu

doi:10.1007/jhep12(2016)018

Cited by 24 publications

(29 citation statements)

References 52 publications

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“…For very high-energy colliders, jet inclusive cross sections are of special interest, and are clearly related to the results presented here. Fixed-order jet cross sections have been brought to the level of two loops, [24,25], and the impact of threshold resummation has been discussed at least to NLL accuracy in direct QCD [26,27,28,29,30,31,32] and effective theory formalisms [33,34,35,36,37,38]. Inclusive jet cross sections share the underlying kinematics of single-particle inclusive cross sections, and we anticipate that the formalism for single particles described in this paper will have useful applications to single jets.…”

Section: Introductionmentioning

confidence: 93%

Threshold resummation at NNLL for single-particle production in hadronic collisions

et al. 2019

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We develop threshold resummation for single-particle inclusive cross sections in hadron-hadron collisions to the level of next-to-next-to-leading logarithm, up to full matching with two-loop hard functions. We define and calculate all one-loop soft functions for all partonic channels. This enables us to separate the hard and soft functions at one loop. Along with these results, the one-loop finite parts of jet functions are used to check that the full soft, collinear and virtual corrections are reproduced to one loop for all partonic reactions. We exhibit these NLO results explicitly. NLO expansions of the resummed cross section match the exact NLO results extremely well numerically, and two loop expansions result in substantial corrections over many kinematic configurations. Explicit results are given in Mellin moment space, and a number of options for generating resummed cross sections are discussed.

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Section: Introductionmentioning

confidence: 93%

Threshold resummation at NNLL for single-particle production in hadronic collisions

et al. 2019

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“…Such observables will involve non-global structures which can not be captured by the traditional exponential formula [52]. In this paper we will apply the jet effective theory [58,59] to derive the factorization and resummation formula. Since the full factorization structure is quite complicated which we save for the next section, in this section, we will for the moment ignore the NGLs that arise from the non-global structure, and write down a factorized formalism to resum the global logarithms and build our intuition.…”

Section: Tmd Formalism: Global Structurementioning

confidence: 99%

QCD resummation on single hadron transverse momentum distribution with the thrust axis

Kang

Shao

Zhao

2020

J. High Energ. Phys.

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We derive the transverse momentum dependent (TMD) factorization and resummation formula of the unpolarized transverse momentum distribution (jT) for the single hadron production with the thrust axis in an electron-positron collision. Two different kinematic regions are considered, including small transverse momentum limit jT « Q, and joint transverse momentum and threshold limit jT « Q(1 − zh) « Q, where Q and zh are the hard scattering energy and the observed hadron momentum fraction. Using effective theory methods, we resum logarithms ln(Q/jT) and ln(1 − zh) to all orders. In the end, we present the differential cross sections and Gaussian widths calculated for the inclusive charged pion production and find that our results are consistent with the measurements reported by the Belle collaboration.

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“…These works encountered similar clustering effects modifying the structure of the jet boundary, though the precise details of how the clustering history was treated in the algorithm were lacking. 3 For recent work on the theory of non-global correlations, see [9][10][11][12][13][14][15][16][17][18][19][20][21][22].…”

Section: Brief Discussion Of Clustering Effects and Nglsmentioning

confidence: 99%

Non-global and clustering effects for groomed multi-prong jet shapes

Neill

2019

J. High Energ. Phys.

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We present a resummation of the non-global and clustering effects in groomed (with modified mass drop tagger) multi-pronged observables, valid to next-to leading logarithmic accuracy in the D 2 distribution (all single logarithmic terms), focusing on the non-global and clustering effects which cannot be removed by normalizing the cross-section. These effects are universal in the sense that they depend only on the flavor structure of the 1 → 2 splitting forming the multi-pronged subjets and the opening angle of the splitting, being insensitive to the underlying hard process or underlying event. The differential spectra with and without the non-global and clustering effects are presented, and the change in the spectra is found to be small.

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Factorization for the light-jet mass and hemisphere soft function

Cited by 24 publications

References 52 publications

Threshold resummation at NNLL for single-particle production in hadronic collisions

Threshold resummation at NNLL for single-particle production in hadronic collisions

QCD resummation on single hadron transverse momentum distribution with the thrust axis

Non-global and clustering effects for groomed multi-prong jet shapes

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