Power corrections to event shapes and factorization

Korchemsky, G.P.; Sterman, George

doi:10.1016/s0550-3213(99)00308-9

Cited by 237 publications

(382 citation statements)

References 27 publications

(47 reference statements)

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“…The function F m denotes final state nonperturbative hadronization corrections for the channel m. These corrections are important for some jet observables, and for cases where they arise from soft dynamics can be formulated as vacuum transition matrix elements in quantum field theory [63][64][65][66][67][68][69]. For cases with large logarithms between perturbative scales, there is usually a further factorization of the perturbative calculation into components describing different momentum regions.…”

Section: Jhep08(2016)025mentioning

confidence: 99%

An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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Starting with QCD, we derive an effective field theory description for forward scattering and factorization violation as part of the soft-collinear effective field theory (SCET) for high energy scattering. These phenomena are mediated by long distance Glauber gluon exchanges, which are static in time, localized in the longitudinal distance, and act as a kernel for forward scattering where |t| s. In hard scattering, Glauber gluons can induce corrections which invalidate factorization. With SCET, Glauber exchange graphs can be calculated explicitly, and are distinct from graphs involving soft, collinear, or ultrasoft gluons. We derive a complete basis of operators which describe the leading power effects of Glauber exchange. Key ingredients include regulating light-cone rapidity singularities and subtractions which prevent double counting. Our results include a novel all orders gauge invariant pure glue soft operator which appears between two collinear rapidity sectors. The 1-gluon Feynman rule for the soft operator coincides with the Lipatov vertex, but it also contributes to emissions with ≥ 2 soft gluons. Our Glauber operator basis is derived using tree level and one-loop matching calculations from full QCD to both SCET II and SCET I . The one-loop amplitude's rapidity renormalization involves mixing of color octet operators and yields gluon Reggeization at the amplitude level. The rapidity renormalization group equation for the leading soft and collinear functions in the forward scattering cross section are each given by the BFKL equation. Various properties of Glauber gluon exchange in the context of both forward scattering and hard scattering factorization are described. For example, we derive an explicit rule for when eikonalization is valid, and provide a direct connection to the picture of multiple Wilson lines crossing a shockwave. In hard scattering operators Glauber subtractions for soft and collinear loop diagrams ensure that we are not sensitive to the directions for soft and collinear Wilson lines. Conversely, certain Glauber interactions can be absorbed into these soft and collinear Wilson lines by taking them to be in specific directions. We also discuss criteria for factorization violation.

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Section: Jhep08(2016)025mentioning

confidence: 99%

An effective field theory for forward scattering and factorization violation

Rothstein

Stewart

2016

J. High Energ. Phys.

135

291

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“…The jet functions J 1 and J 2 describe the back-to-back collinear final-state radiation along the thrust axis, and the soft function S 2 describes the soft radiation between the jets. The soft function contains perturbative and nonperturbative components, which can be separated as [66][67][68] …”

Section: Resummationmentioning

confidence: 99%

Combining higher-order resummation with multiple NLO calculations and parton showers in GENEVA

Alioli

Bauer

Berggren

et al. 2013

J. High Energ. Phys.

125

163

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Abstract:We extend the lowest-order matching of tree-level matrix elements with parton showers to give a complete description at the next higher perturbative accuracy in α s at both small and large jet resolutions, which has not been achieved so far. This requires the combination of the higher-order resummation of large Sudakov logarithms at small values of the jet resolution variable with the full next-to-leading-order (NLO) matrix-element corrections at large values. As a by-product, this combination naturally leads to a smooth connection of the NLO calculations for different jet multiplicities. In this paper, we focus on the general construction of our method and discuss its application to e + e − and pp collisions. We present first results of the implementation in the Geneva Monte Carlo framework. We employ N -jettiness as the jet resolution variable, combining its next-tonext-to-leading logarithmic resummation with fully exclusive NLO matrix elements, and Pythia 8 as the backend for further parton showering and hadronization. For hadronic collisions, we take Drell-Yan production as an example to apply our construction. For e + e − → jets, taking α s (m Z ) = 0.1135 from fits to LEP thrust data, together with the Pythia 8 hadronization model, we obtain good agreement with LEP data for a variety of 2-jet observables.

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“…A physically transparent way of dealing with the n ≥ 2 terms has been developed by Korchemsky, Sterman and collaborators [121][122][123][124][125]193]. One approximates f V (x, v, α s , Q) in eq.…”

Section: Shape Functionsmentioning

confidence: 99%