Additional moments and x-space approximations of four-loop splitting functions in QCD
We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N=12 for the pure-singlet quark case and N=10 for all other cases. These results, obtained using physical quantities in inclusive deep-inelastic scattering, have been and will be...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324000273 |
| _version_ | 1797324398960574464 |
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| author | S. Moch B. Ruijl T. Ueda J. Vermaseren A. Vogt |
| author_facet | S. Moch B. Ruijl T. Ueda J. Vermaseren A. Vogt |
| author_sort | S. Moch |
| collection | DOAJ |
| description | We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N=12 for the pure-singlet quark case and N=10 for all other cases. These results, obtained using physical quantities in inclusive deep-inelastic scattering, have been and will be used to validate conceptionally much more challenging determinations of these splitting functions from off-shell operator matrix elements (OMEs). For the quark-gluon and gluon-gluon splitting functions, which have yet to be computed to higher N using OMEs, we construct approximations based on our moments and endpoint constraints, where we present new large-x results for the gluon-gluon case. These approximations facilitate an approximate N3LO evolution of parton distributions which are sufficiently accurate outside the region of small momentum fractions x. |
| first_indexed | 2024-03-08T05:55:36Z |
| format | Article |
| id | doaj.art-60cf9fd1732b460bafe6486d3f088dbb |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-08T05:55:36Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-60cf9fd1732b460bafe6486d3f088dbb2024-02-05T04:30:00ZengElsevierPhysics Letters B0370-26932024-02-01849138468Additional moments and x-space approximations of four-loop splitting functions in QCDS. Moch0B. Ruijl1T. Ueda2J. Vermaseren3A. Vogt4II. Institute for Theoretical Physics, Hamburg University, Luruper Chaussee 149, D-22761 Hamburg, GermanyETH Zürich, Rämistrasse 101, CH-8092 Zürich, SwitzerlandDepartment of Mathematics, Faculty of Medicine, Juntendo University, 1-1 Hiraga-gakuendai, Inzai, Chiba 270-1695, JapanNikhef Theory Group, Science Park 105, 1098 XG Amsterdam, The NetherlandsDepartment of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, United Kingdom; Corresponding author.We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N=12 for the pure-singlet quark case and N=10 for all other cases. These results, obtained using physical quantities in inclusive deep-inelastic scattering, have been and will be used to validate conceptionally much more challenging determinations of these splitting functions from off-shell operator matrix elements (OMEs). For the quark-gluon and gluon-gluon splitting functions, which have yet to be computed to higher N using OMEs, we construct approximations based on our moments and endpoint constraints, where we present new large-x results for the gluon-gluon case. These approximations facilitate an approximate N3LO evolution of parton distributions which are sufficiently accurate outside the region of small momentum fractions x.http://www.sciencedirect.com/science/article/pii/S0370269324000273 |
| spellingShingle | S. Moch B. Ruijl T. Ueda J. Vermaseren A. Vogt Additional moments and x-space approximations of four-loop splitting functions in QCD Physics Letters B |
| title | Additional moments and x-space approximations of four-loop splitting functions in QCD |
| title_full | Additional moments and x-space approximations of four-loop splitting functions in QCD |
| title_fullStr | Additional moments and x-space approximations of four-loop splitting functions in QCD |
| title_full_unstemmed | Additional moments and x-space approximations of four-loop splitting functions in QCD |
| title_short | Additional moments and x-space approximations of four-loop splitting functions in QCD |
| title_sort | additional moments and x space approximations of four loop splitting functions in qcd |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324000273 |
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