The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions

The cross section for deep inelastic lepton-proton scattering (DIS) ℓp→ℓ′X includes a diffractive deep inelastic (DDIS) contribution ℓp→ℓ′p′X, in which the proton remains intact with a large longitudinal momentum fraction xF greater than 0.9 and small transverse momentum. The DDIS events, which can...

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Autores principales: Stanley J. Brodsky, Valery E. Lyubovitskij, Ivan Schmidt
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Publicado: Elsevier 2022
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spelling oai:doaj.org-article:a74daba170f24b68b6e8dd7db29c12122021-12-04T04:32:48ZThe diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions0370-269310.1016/j.physletb.2021.136801https://doaj.org/article/a74daba170f24b68b6e8dd7db29c12122022-01-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321007413https://doaj.org/toc/0370-2693The cross section for deep inelastic lepton-proton scattering (DIS) ℓp→ℓ′X includes a diffractive deep inelastic (DDIS) contribution ℓp→ℓ′p′X, in which the proton remains intact with a large longitudinal momentum fraction xF greater than 0.9 and small transverse momentum. The DDIS events, which can be identified with Pomeron exchange in the t-channel, account for approximately 10% of all of the DIS events. Thus, when one measures DIS, one automatically includes the leading-twist Bjorken-scaling DDIS events as a contribution to the DIS cross section, whether or not the final-state proton p′ is detected. In such events, the missing momentum fraction xp′∼0.9 carried by the final-state proton p′ in the DDIS events could be misidentified with the light-front momentum fraction carried by sea quarks or gluons in the protons' Fock structure. As we shall show in this article, the underlying QCD Pomeron-exchange amplitude which produces the DDIS events does not obey the operator product expansion nor satisfy momentum sum rules. Thus we conclude that the quark and gluon distributions measured in DIS experiments will be misidentified, unless the measurements explicitly exclude the DDIS events and that a correct determination of the parton distribution functions (PDFs) derived from the DIS data requires the explicit subtraction of the DDIS contribution from the full DIS cross section.Stanley J. BrodskyValery E. LyubovitskijIvan SchmidtElsevierarticleDeep inelastic scatteringDiffractive deep inelastic scatteringParton distribution functionsMomentum sum rulesPhysicsQC1-999ENPhysics Letters B, Vol 824, Iss , Pp 136801- (2022)
institution DOAJ
collection DOAJ
language EN
topic Deep inelastic scattering
Diffractive deep inelastic scattering
Parton distribution functions
Momentum sum rules
Physics
QC1-999
spellingShingle Deep inelastic scattering
Diffractive deep inelastic scattering
Parton distribution functions
Momentum sum rules
Physics
QC1-999
Stanley J. Brodsky
Valery E. Lyubovitskij
Ivan Schmidt
The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions
description The cross section for deep inelastic lepton-proton scattering (DIS) ℓp→ℓ′X includes a diffractive deep inelastic (DDIS) contribution ℓp→ℓ′p′X, in which the proton remains intact with a large longitudinal momentum fraction xF greater than 0.9 and small transverse momentum. The DDIS events, which can be identified with Pomeron exchange in the t-channel, account for approximately 10% of all of the DIS events. Thus, when one measures DIS, one automatically includes the leading-twist Bjorken-scaling DDIS events as a contribution to the DIS cross section, whether or not the final-state proton p′ is detected. In such events, the missing momentum fraction xp′∼0.9 carried by the final-state proton p′ in the DDIS events could be misidentified with the light-front momentum fraction carried by sea quarks or gluons in the protons' Fock structure. As we shall show in this article, the underlying QCD Pomeron-exchange amplitude which produces the DDIS events does not obey the operator product expansion nor satisfy momentum sum rules. Thus we conclude that the quark and gluon distributions measured in DIS experiments will be misidentified, unless the measurements explicitly exclude the DDIS events and that a correct determination of the parton distribution functions (PDFs) derived from the DIS data requires the explicit subtraction of the DDIS contribution from the full DIS cross section.
format article
author Stanley J. Brodsky
Valery E. Lyubovitskij
Ivan Schmidt
author_facet Stanley J. Brodsky
Valery E. Lyubovitskij
Ivan Schmidt
author_sort Stanley J. Brodsky
title The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions
title_short The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions
title_full The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions
title_fullStr The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions
title_full_unstemmed The diffractive contribution to deep inelastic lepton-proton scattering: Implications for QCD momentum sum rules and parton distributions
title_sort diffractive contribution to deep inelastic lepton-proton scattering: implications for qcd momentum sum rules and parton distributions
publisher Elsevier
publishDate 2022
url https://doaj.org/article/a74daba170f24b68b6e8dd7db29c1212
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