Lorentz invariance relations for twist-3 quark distributions

Lorentz invariance relations for twist-3 quark distributions

We calculate twist-3 parton ditribution functions (PDFs) using cut and uncut diagrams. Uncut diagrams lead to a Dirac delta function term. No such term appears when cut diagrams are used. We show that a $\delta(x)$ is necessary to satisfy the Lorentz invariance relations of twist-3 PDFs, except for...

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Hauptverfasser: Aslan, Fatma P, Burkardt, Matthias
Format: Artikel
Sprache:eng
Schlagworte:
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
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Zusammenfassung:We calculate twist-3 parton ditribution functions (PDFs) using cut and uncut diagrams. Uncut diagrams lead to a Dirac delta function term. No such term appears when cut diagrams are used. We show that a $\delta(x)$ is necessary to satisfy the Lorentz invariance relations of twist-3 PDFs, except for the Burkhardt-Cottingham sum rule in QCD.
DOI:10.48550/arxiv.2001.03655