On the QCD Evolution of the Transversity Distribution

Vincenzo Barone

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On the QCD Evolution of the Transversity Distribution

Vincenzo Barone

High Energy Physics - Phenomenology · Submitted 17 Mar 1997

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim It is shown that they differ largely in the small-$x$ region.

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The QCD evolution of the transversity distributions is investigated and compared to that of the helicity distributions. It is shown that they differ largely in the small-$x$ region. It is also proved that the evolution preserves Soffer's inequality among the three leading-twist distribution functions.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The QCD evolution of the transversity distributions is investigated and compared to that of the helicity distributions.	contribution 0.99	0.86	0.08	asserted 0.92
s1	It is shown that they differ largely in the small-$x$ region.	result 1.00	0.85	0.39	asserted 1.00
s2	It is also proved that the evolution preserves Soffer's inequality among the three leading-twist distribution functions.	result 0.99	0.89	0.33	asserted 1.00

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The paper

Original abstract

The QCD evolution of the transversity distributions is investigated and compared to that of the helicity distributions. It is shown that they differ largely in the small-$x$ region. It is also proved that the evolution preserves Soffer's inequality among the three leading-twist distribution functions.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Next-to-leading Order Evolution of Transversity Distributions and Soffer's Inequality
hep-ph 1997-06 accept novelty 7.0 of 10

The next-to-leading-order transversity splitting functions are calculated in perturbative QCD, and Soffer's inequality for valence quark densities is shown to be preserved under their evolution.
Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution
hep-ph 2015-05 accept novelty 6.0 of 10

First extraction of quark transversity and Collins fragmentation functions including TMD evolution, from a joint fit to BELLE, BABAR, HERMES, COMPASS and JLab Collins asymmetry data.
Collins azimuthal asymmetries of hadron production inside jets
hep-ph 2017-07 conditional novelty 5.0 of 10

Predictions built from previously fitted transversity and Collins fragmentation functions reproduce STAR jet Collins asymmetries at RHIC, supporting universality of the Collins fragmentation function across SIDIS, e+e...
Transverse-Spin and Transverse-Momentum Effects in High-Energy Processes
hep-ph 2010-11 accept novelty 1.0 of 10

The review consolidates the theory and the HERMES, COMPASS, Belle and RHIC measurements of transverse-spin asymmetries, and the global fits that extract transversity and the Collins function from them.

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8 arXiv papers cite this in 10 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 5 papers

The evolution of transversity distribution is very well known [ref] while the evolution of the twist-3 fragmentation function involves multiparton correlation functions [ref] , as a common feature of higher-twist correlation functions.

Extraction of Quark Transversity Distribution and Collins Fragmentation Functions with QCD Evolution · Introduction · 0.87
In Ref. [ref] Barone showed that the SB, if true at some initial scale $Q_0$, is preserved by QCD evolution at LO.

Role of the Soffer bound in determination of transversity and the tensor charge · Introduction · 0.82
$h_1^q$ is related to the two other independent collinear distributions (unpolarised and helicity PDFs) by the bound derived by Soffer [ref] : [equation] The Soffer bound (SB) was shown to be preserved by $Q^2$ evolution up to next-to-leading order in QCD [ref] , and it represents a useful constraint for phenomenological analyses.

Updates on transversity extractions · Introduction · 0.83

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