An on-shell approach to factorization

Feige, Ilya; Schwartz, Matthew D.

doi:10.1103/physrevd.88.065021

Cited by 34 publications

(54 citation statements)

References 64 publications

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“…We have presented the explicit results of the perturbative coefficients of the resummation formula up to NLO and NNLL accuracy (see Eqs. (30), (33), (36) and (40)). …”

Section: Discussionmentioning

confidence: 99%

“…These ln(Mb) terms are produced by the radiation of soft and collinear partons (i.e., partons with low transverse momentum k T , say, with k T M) in the inclusive final state X of the inelastic partonic processes a b → QQ + X. Soft and collinear radiation is treated by using the universal (process-independent) all-order factorization formulae [28][29][30][31][32]19,33] of QCD scattering amplitudes. Soft/collinear factorization at the amplitude (and squared amplitude) level is not spoiled by kinematical effects at the cross section level, since we are working in b space (in the small-q T limit, the kinematics of the q T cross section is exactly factorized [4] by the Fourier transformation to b space).…”

Section: All-order Resummationmentioning

confidence: 99%

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Transverse-momentum resummation for heavy-quark hadroproduction

Catani¹,

Grazzini²,

Torre³

2015

Nuclear Physics B

209

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We consider the production of a pair of heavy quarks ($Q{\bar Q}$) in hadronic collisions. When the transverse momentum $q_T$ of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by large logarithmic terms that must be resummed to all-orders. This behavior is well known from the simpler case of hadroproduction of colourless high-mass systems, such as vector or Higgs boson(s). In the case of $Q{\bar Q}$ production, the final-state heavy quarks carry colour charge and are responsible for additional soft radiation (through direct emission and interferences with initial-state radiation) that complicates the evaluation of the logarithmically-enhanced terms in the small-$q_T$ region. We present the all-order resummation structure of the logarithmic contributions, which includes colour flow evolution factors due to soft wide-angle radiation. Resummation is performed at the completely differential level with respect to the kinematical variables of the produced heavy quarks. Soft-parton radiation produces azimuthal correlations that are fully taken into account by the resummation formalism. These azimuthal correlations are entangled with those that are produced by initial-state collinear radiation. We present explicit analytical results up to next-to-leading order and next-to-next-to-leading logarithmic accuracy.Comment: Some comments expanded and references added. Version published on NP

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“…We have presented the explicit results of the perturbative coefficients of the resummation formula up to NLO and NNLL accuracy (see Eqs. (30), (33), (36) and (40)). …”

Section: Discussionmentioning

confidence: 99%

Section: All-order Resummationmentioning

confidence: 99%

Transverse-momentum resummation for heavy-quark hadroproduction

Catani¹,

Grazzini²,

Torre³

2015

Nuclear Physics B

209

View full text Add to dashboard Cite

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“…In fact, the collinear sector in SCET is a boosted copy of QCD [104,[112][113][114]. Realizing this, various next-to-next-to-leading order jet and beam functions were calculated bypassing the use of the more complicated collinear SCET Feynman rules [115][116][117][118][119].…”

Section: Jhep05(2016)023mentioning

confidence: 99%

Towards the understanding of jet shapes and cross sections in heavy ion collisions using soft-collinear effective theory

Chien

Vitev

2016

J. High Energ. Phys.

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We calculate the jet shape and the jet cross section in heavy ion collisions using soft-collinear effective theory (SCET) and its extension with Glauber gluon interactions in the medium (SCET G ). We use the previously developed framework to systematically resum the jet shape at next-to-leading logarithmic accuracy, and we consistently include the medium modification by incorporating the leading order medium-induced splitting functions. The calculation provides, for the first time, a quantitative understanding of the jet shape modification measurement in lead-lead collisions at √ s NN = 2.76 TeV at the LHC. The inclusive jet suppression is also calculated within the same framework beyond the traditional concept of parton energy loss, and the dependence on the centrality, the jet radius and the jet kinematics is examined. In the end we present predictions for the anticipated jet shape and cross section measurements in lead-lead collisions at √ s NN ≈ 5.1 TeV at the LHC.

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“…As with the soft subtraction, this is expected as the jet function is based on the same collinear factorization properties (see ref. [41]) as the collinear subtraction terms.…”

Section: Collinear Subtractionsmentioning

confidence: 99%

Jet veto clustering logarithms beyond leading order

Alioli

Walsh

2014

J. High Energ. Phys.

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Many experimental analyses separate events into exclusive jet bins, using a jet algorithm to cluster the final state and then veto on jets. Jet clustering induces logarithmic dependence on the jet radius R in the cross section for exclusive jet bins, a dependence that is poorly controlled due to the non-global nature of the clustering. At jet radii of experimental interest, the leading order (LO) clustering effects are numerically significant, but the higher order effects are currently unknown. We rectify this situation by calculating the most important part of the next-to-leading order (NLO) clustering logarithms of R for any 0-jet process, which enter as O(α 3 s ) corrections to the cross section. The calculation blends subtraction methods for NLO calculations with factorization properties of QCD and soft-collinear effective theory (SCET). We compare the size of the known LO and new NLO clustering logarithms and find that the impact of the NLO terms on the 0-jet cross section in Higgs production is small. This brings clustering effects under better control and may be used to improve uncertainty estimates on cross sections with a jet veto.

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An on-shell approach to factorization

Cited by 34 publications

References 64 publications

Transverse-momentum resummation for heavy-quark hadroproduction

Transverse-momentum resummation for heavy-quark hadroproduction

Towards the understanding of jet shapes and cross sections in heavy ion collisions using soft-collinear effective theory

Jet veto clustering logarithms beyond leading order

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