Target mass effects in polarized deep-inelastic scattering

Piccione, Andrea; Ridolfi, Giovanni

doi:10.1016/s0550-3213(97)00716-5

Cited by 89 publications

(109 citation statements)

References 27 publications

(18 reference statements)

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“…[28], which equals F 2 in the collinear parton approximation, the difference between the p ⊥ = 0 approximation giving F T and our order p 0 ⊥ approximation is less than 10% over all x and Q 2 as low as 1 GeV 2 , rapidly falling below 5% at Q 2 =2 GeV 2 . Low energy O(p 2 ⊥ ) effects and the target mass treatment in general border onto dynamical higher twists at large-x [30][31][32]. Those concepts will be investigated in more detail when future work will combine the DIS cross-sections with the non-DIS channels.…”

Section: Uncertaintiesmentioning

confidence: 99%

Tau neutrino deep inelastic charged current interactions

2002

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The ν µ → ν τ oscillation hypothesis will be tested through ν τ production of τ in underground neutrino telescopes as well as long-baseline experiments. We provide the full QCD framework for the evaluation of tau neutrino deep inelastic charged current (CC) cross sections, including next-leading-order (NLO) corrections, charm production, tau threshold, and target mass effects in the collinear approximation. We investigate the violation of the Albright-Jarlskog relations for the structure functions F 4,5 which occur only in heavy lepton (τ ) scattering. Integrated CC cross sections are evaluated naively over the full phase space and with the inclusion of DIS kinematic cuts. Uncertainties in our evaluation based on scale dependence, PDF errors and the interplay between kinematic and dynamical power corrections are discussed and/or quantified.

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Section: Uncertaintiesmentioning

confidence: 99%

Tau neutrino deep inelastic charged current interactions

2002

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“…This relation remains valid when target mass corrections are included in the twist-2 contribution [23,24].…”

Section: A Leading Twistmentioning

confidence: 81%

“…Because of the fact that g 1 and g 2 contain the same twist-2 operators, the leading twist part of g 2 can be extracted via the Wandzura-Wilczek (WW) relation [22,23] …”

Section: A Leading Twistmentioning

confidence: 99%

“…We follow the method suggested by Refs. [23,25,26], which is exactly calculable and effectively belongs to the LT term [27].…”

Section: B Target Mass Corrections and Threshold Problemmentioning

confidence: 99%

“…Many attempts have been made to avoid this issue by considering various prescriptions in the literature [5,23,[28][29][30][31]. These solutions are not unique.…”

Section: B Target Mass Corrections and Threshold Problemmentioning

confidence: 99%

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Target mass corrections and higher twist effects in polarized deep-inelastic scattering

2014

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We perform a next-to-leading-order QCD analysis to world data on polarized structure functions g1 and g2 in a fixed-flavor number scheme. We include target mass corrections and higher twist effects in our fitting procedure and study their non-negligible effects on physically interesting quantities. Twist-3 contributions to both polarized structure functions are determined, and the accuracy of the extracted polarized parton distribution functions is improved. 3 He and 3 H polarized structure functions are described based on our fit result. Moreover, sum rules are derived and compared with available theoretical and experimental results.

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The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

Blümlein

Marquard

Schneider

et al. 2022

J. High Energ. Phys.

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Future high luminosity polarized deep-inelastic scattering experiments will improve both the knowledge of the spin sub-structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as well as, reveal currently yet unknown higher twist contributions in the polarized sector. For all these tasks to be performed, it is necessary to know the QCD leading twist scaling violations of the measured structure functions. Here an important ingredient consists in the polarized singlet anomalous dimensions and splitting functions in QCD. We recalculate these quantities to three-loop order in the M-scheme by using the traditional method of space-like off-shell massless operator matrix elements, being a gauge-dependent framework. Here one obtains the anomalous dimensions without referring to gravitational currents, needed when calculating them using the forward Compton amplitude. We also calculate the non-singlet splitting function $$ \Delta {P}_{\mathrm{qq}}^{(2),\mathrm{s},\mathrm{NS}} $$ ∆ P qq 2 , s , NS and compare the final results to the literature, also including predictions for the region of small values of Bjorken x.

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Target mass effects in polarized deep-inelastic scattering

Cited by 89 publications

References 27 publications

Tau neutrino deep inelastic charged current interactions

Tau neutrino deep inelastic charged current interactions

Target mass corrections and higher twist effects in polarized deep-inelastic scattering

The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

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