Gluon jet function at three loops in QCD

Banerjee, Pulak; Dhani, Prasanna K.; Ravindran, V.

doi:10.1103/physrevd.98.094016

Cited by 42 publications

(33 citation statements)

References 44 publications

(71 reference statements)

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“…Sample values of c CA 2 and c nf 2 for the values of a we plot in this paper are given in Table 2. Finally, the jet function constants are known to one [68,69], two [70,71], and even three loops [72,73] for a = 0, but they were so far only known to one-loop order for generic values of a [34]. In Laplace space, they read…”

Section: Nnll Ingredientsmentioning

confidence: 99%

e+e− angularity distributions at NNLL′ accuracy

Bell

Hornig

Lee

et al. 2019

J. High Energ. Phys.

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We present predictions for the e + e − event shape angularities at NNLL resummed and O(α 2 s ) matched accuracy and compare them to LEP data at center-of-mass energies Q = 91.2 GeV and Q = 197 GeV. We perform the resummation within the framework of Soft-Collinear Effective Theory, and make use of recent results for the two-loop angularity soft function. We determine the remaining NNLL and O(α 2 s ) ingredients from a fit to the EVENT2 generator, and implement a shape function with a renormalon-free gap parameter to model non-perturbative effects. Using values of the strong coupling α s (m Z ) and the universal non-perturbative shift parameter Ω 1 that are consistent with those obtained in previous fits to the thrust and C-parameter distributions, we find excellent agreement between our predictions and the LEP data for all angularities with a ∈ [−1, 0.5]. This provides a robust test of the predictions of QCD, factorization, and the universal scaling of the non-perturbative shift across different angularities. Promisingly, our results indicate that current degeneracies in the {α s (m Z ), Ω 1 } parameter space could be alleviated upon fitting these parameters to experimental data for the angularity distributions.

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Section: Nnll Ingredientsmentioning

confidence: 99%

e+e− angularity distributions at NNLL′ accuracy

Bell

Hornig

Lee

et al. 2019

J. High Energ. Phys.

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show abstract

“…The coefficients Z I i j expressed in terms of A I , B I , f I , δ (1 − z) and D i (z) can be found in the original article [43]. The general expression for the jet function C e 2Φ I,fin SJ = δ (1 − z) + ∑ ∞ i=1 a i s J I i k up to three loops where J I i k represent the coefficients of D j (z), δ for j ≤ (2i − 1) can also be found in [43]. Throughout our computation, we have set µ 2 R = µ 2 F = Q 2 .…”

Section: Resultsmentioning

confidence: 99%

Quark and gluon jet functions at three loops in QCD

Banerjee¹,

Dhani²,

Ravindran³

2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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We present the first result on the three-loop parton (quark/gluon) jet function in perturbative quantum chromodynamics using already known three-loop coefficient functions for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a scalar that couples to gluons. While the gluon jet function is a brand new result emerging from this article, the result for the quark jet function provides an independent check to a more recent calculation. These jet functions being universal ingredients in the Soft-collinear effective theory framework, will play an important role in the phenomenological studies at the Large Hadron Collider, such as resummation of jet observables and also in N-jettiness subtraction method.

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“…To compute the integral we use the same approach as for diagram (o ). The M → ∞ piece is given by 37) and the remainder term reads…”

Section: Secondary Massive Quark Correctionsmentioning

confidence: 99%

Two-loop massive quark jet functions in SCET

Hoang

Lepenik

Stahlhofen

2019

J. High Energ. Phys.

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We calculate the O(α 2 s ) corrections to the primary massive quark jet functions in Soft-Collinear Effective Theory (SCET). They are an important ingredient in factorized predictions for inclusive jet mass cross sections initiated by massive quarks emerging from a hard interaction with smooth quark mass dependence. Due to the effects coming from the secondary production of massive quark-antiquark pairs there are two options to define the SCET jet function, which we call universal and mass mode jet functions. They are related to whether or not a soft mass mode (zero) bin subtraction is applied for the secondary massive quark contributions and differ in particular concerning the infrared behavior for vanishing quark mass. We advocate that a useful alternative to the common zero-bin subtraction concept is to define the SCET jet functions through subtractions related to collinear-soft matrix elements. This avoids the need to impose additional power counting arguments as required for zero-bin subtractions. We demonstrate how the two SCET jet function definitions may be used in the context of two recently developed factorization approaches to treat secondary massive quark effects. We clarify the relation between these approaches and in which way they are equivalent. Our two-loop calculation involves interesting technical subtleties related to spurious rapidity divergences and infrared regularization in the presence of massive quarks.

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Gluon jet function at three loops in QCD

Cited by 42 publications

References 44 publications

e+e− angularity distributions at NNLL′ accuracy

e+e− angularity distributions at NNLL′ accuracy

Quark and gluon jet functions at three loops in QCD

Two-loop massive quark jet functions in SCET

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