Towards the NNLO evolution of polarised parton distributions

Vogt, A.; Moch, S.; Rogal, M.; Vermaseren, J. A. M.

doi:10.1016/j.nuclphysbps.2008.09.097

Cited by 43 publications

(37 citation statements)

References 33 publications

(42 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(A.5)] is identical to C 3 up to the d abc d abc term irrelevant at large x, and that an analogous 1/N 2 suppression of the helicity flip for x → 1 is present in polarized splitting functions, see Ref. [61] and references therein.…”

Section: Appendix A: the Exact X-space Resultsmentioning

confidence: 93%

Third-order QCD corrections to the charged-current structure function

2009

Self Cite

View full text Add to dashboard Cite

We compute the coefficient function for the charge-averaged W ± -exchange structure function F 3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new threeloop contribution to this quantity forms, at not too small values of the Bjorken variable x, the dominant part of the next-to-next-to-next-to-leading order corrections. It thus facilitates improved determinations of the strong coupling α s and of 1/Q 2 power corrections from scaling violations measured in neutrino-nucleon DIS. The expansion of F 3 in powers of α s is stable at all values of x relevant to measurements at high scales Q 2 . At small x the third-order coefficient function is dominated by diagrams with the colour structure d abc d abc not present at lower orders. At large x the coefficient function for F 3 is identical to that of F 1 up to terms vanishing for x → 1.

show abstract

Section: Appendix A: the Exact X-space Resultsmentioning

confidence: 93%

Third-order QCD corrections to the charged-current structure function

2009

Self Cite

View full text Add to dashboard Cite

show abstract

“…(18). In that regime, the total diffractive cross-section σ diff (including all the events with rapidity gaps), would constitute 50% of the total crosssection,…”

Section: Diffractive Physicsmentioning

confidence: 99%

“…Utilizing DC cooling at pre-booster energies -with similar requirements as the established DC cooling at FNAL [336] and FZ-Jüelich [337]-will already allow a peak luminosity above 3×10 33 cm −2 s −1 if only projecting a single-turn ERL cooler without a circulator ring. 6 The EIC detector requirements and design ideas 18 …”

Section: Electron Coolingmentioning

confidence: 99%

“…Similar to the unpolarized quark and gluon densities, the Q 2 -dependences of Δq(x, Q 2 ), Δq(x, Q 2 ) and the gluon helicity distribution Δg(x, Q 2 ) are related by QCD radiative processes that are calculable [12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…The physics program of an EIC imposes several challenges on the design of a detector, and more globally the extended interaction region, as it spans a wide range in 18 Conveners: Elke C. Aschenauer and Tanja Horn.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Electron-Ion Collider: The next QCD frontier

et al. 2016

View full text Add to dashboard Cite

Abstract. This White Paper presents the science case of an Electron-Ion Collider (EIC), focused on the structure and interactions of gluon-dominated matter, with the intent to articulate it to the broader nuclear science community. It was commissioned by the managements of Brookhaven National Laboratory (BNL) and Thomas Jefferson National Accelerator Facility (JLab) with the objective of presenting a summary of scientific opportunities and goals of the EIC as a follow-up to the 2007 NSAC Long Range plan. This document is a culmination of a community-wide effort in nuclear science following a series of workshops on EIC physics over the past decades and, in particular, the focused ten-week program on "Gluons and quark sea at high energies" at the Institute for Nuclear Theory in Fall 2010. It contains a brief description of a few golden physics measurements along with accelerator and detector concepts required to achieve them. It has been benefited profoundly from inputs by the users' communities of BNL and JLab. This White Paper offers the promise to propel the QCD science program in the US, established with the CEBAF accelerator at JLab and the RHIC collider at BNL, to the next QCD frontier. Preamble Editors' note for the second editionThe first edition of this White Paper was released in 2012. In the current (second) edition, the science case for the EIC is further sharpened in view of the recent data from BNL, CERN and JLab experiments and the lessons learnt from them. Additional improvements were made by taking into account suggestions from the larger nuclear physics community including those made at the EIC Users Group meeting at Stony Brook University in July 2014, and the QCD Town Meeting at Temple University in September 2014.Abhay Deshpande, Zein-Eddine Meziani and Jian-Wei Qiu November 2014 Editors' note for the third edition Since the 2nd release of this White Paper, the NSAC's Long Range Plan (2015) was successfully completed. The EIC is a major recommendation of the US nuclear science community. In the current release (version 3) we have fixed some minor remaining errors in the text, and have added a few new references. While the core science case for the EIC remains the same, the machine designs of both options, the eRHIC at BNL and the JLEIC at JLab keep evolving. In this 3rd release of the EIC White Paper instead of making substantial changes to the machine design sections (5.1 and 5.2), we give references to the most recent machine design documents.

show abstract

Renormalization of the axial current operator in dimensional regularization at four-loop in QCD

Chen

Czakon

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in (QCD), determined using the off-shell Ward-Takahashi identity for an axial current with a non-anticommuting γ5. A possible application of the result for the singlet axial current operator is the extraction of the non-decoupling mass logarithms in the axial quark form factors.

show abstract

Towards the NNLO evolution of polarised parton distributions

Cited by 43 publications

References 33 publications

Third-order QCD corrections to the charged-current structure function

Third-order QCD corrections to the charged-current structure function

Electron-Ion Collider: The next QCD frontier

Renormalization of the axial current operator in dimensional regularization at four-loop in QCD

Contact Info

Product

Resources

About