Soft gluon resummation for polarized deep-inelastic production of heavy quarks

Eynck, Tim Oliver; Moch, S.

doi:10.1016/s0370-2693(00)01211-9

Cited by 10 publications

(9 citation statements)

References 36 publications

(108 reference statements)

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“…These checks include results for the threshold [19,[42][43][44] and high-energy [45] limit, η → 0 and η → ∞, respectively, and the limit Q 2 ≫ m 2 [15,46] that is relevant for the construction of GM-VFNS [47] in PDF analyses. Both, in the unpolarized and the polarized case, we can also compare our results to the known limit of photoproduction [11,31] except for the light-quark scaling function d ð1Þ k;q , which is singular for ξ → 0 and would require an additional mass factorization into a contribution from the hadronic structure of real photons for ξ ¼ 0.…”

Section: Total Partonic Cross Sectionsmentioning

confidence: 99%

“…As is well known, this leads to a large logarithmic enhancements, i.e., powers of log β, in each order of perturbation theory that are amenable to all-order resummation techniques if necessary, see, e.g., Refs. [42][43][44]. We will elaborate on the threshold behavior of the scaling functions a bit further at the end of this section and in Appendix B, where also compact analytical expressions can be found.…”

Section: Total Partonic Cross Sectionsmentioning

confidence: 99%

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Next-to-leading order QCD corrections to inclusive heavy-flavor production in polarized deep-inelastic scattering

Hekhorn

Stratmann

2018

Phys. Rev. D

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We provide a first calculation of the complete next-to-leading order QCD corrections for heavy flavor contributions to the inclusive structure function g 1 in longitudinally polarized deep-inelastic scattering. The results are derived with largely analytical methods and retain the full dependence on the heavy quark's mass. We discuss all relevant technical details of the calculation and present numerical results for the heavy quark scaling functions. We perform important crosschecks to verify our results in the known limit of photoproduction and for the unpolarized electroproduction of heavy quarks. We also compare our calculations to the available, partial results in the polarized case, in particular, in the limit of asymptotically large photon virtualities, and analyze the behavior of the scaling functions near threshold. First steps towards phenomenological applications are taken by providing some estimates for inclusive charm production in polarized deep-inelastic scattering at a future electron-ion collider and studying their sensitivity to the polarized gluon distribution. The residual dependence of heavy quark electroproduction on unphysical factorization and renormalization scales and on the heavy quark mass is investigated.

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Section: Total Partonic Cross Sectionsmentioning

confidence: 99%

Section: Total Partonic Cross Sectionsmentioning

confidence: 99%

Next-to-leading order QCD corrections to inclusive heavy-flavor production in polarized deep-inelastic scattering

Hekhorn

Stratmann

2018

Phys. Rev. D

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“…In the threshold region of heavy-quark pair production one may estimate higher order corrections using soft resummations. They have been studied in the unpolarized case in [279] and the polarized case in [280].…”

Section: Heavy Flavor Wilson Coefficientsmentioning

confidence: 99%

The theory of deeply inelastic scattering

Blümlein

2013

Progress in Particle and Nuclear Physics

101

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The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant α s (M 2 Z ) and the different parton distribution functions. The exact knowledge of these quantities is also of importance for all precision measurements at hadron colliders. During the last two decades very significant progress has been made in performing precision calculations. We review the theoretical status reached for both unpolarized and polarized lepton-hadron scattering based on perturbative QCD.

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“…[26] and checked in Refs. [27,14]. To NLL accuracy, the perturbative expansion for the partonic cross sections, d…”

Section: B Soft-gluon Corrections At Nlomentioning

confidence: 99%

Azimuthal asymmetries in heavy quark leptoproduction as a test of pQCD

Ivanov

2003

Nuclear Physics B

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We analyze the perturbative and parametric stability of the QCD predictions for the azimuthal asymmetries in heavy quark leptoproduction. At leading order, the cos ϕ asymmetry vanishes whereas the cos 2ϕ one is of leading twist and predicted to be about 15% at energies sufficiently above the production threshold. We calculate the NLO soft-gluon corrections to ϕ-dependent leptoproduction to the next-to-leading logarithmic accuracy. The soft-gluon approximation provides a good description of the available exact NLO results at Q 2 < ∼ m 2 . Our analysis shows that, contrary to the production cross sections, the cos 2ϕ asymmetry is practically insensitive to soft radiation for Q 2 < ∼ m 2 at energies of the fixed target experiments. We conclude that the cos 2ϕ asymmetry is well defined in pQCD: it is stable both perturbatively and parametrically, and insensitive (in the case of bottom production) to nonperturbative contributions. Measurements of the azimuthal asymmetries would provide an excellent test of pQCD applicability to heavy flavor production.

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Soft gluon resummation for polarized deep-inelastic production of heavy quarks

Cited by 10 publications

References 36 publications

Next-to-leading order QCD corrections to inclusive heavy-flavor production in polarized deep-inelastic scattering

Next-to-leading order QCD corrections to inclusive heavy-flavor production in polarized deep-inelastic scattering

The theory of deeply inelastic scattering

Azimuthal asymmetries in heavy quark leptoproduction as a test of pQCD

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