Pion distribution functions from low-order Mellin moments

Ya Lu (Department of Physics, Nanjing Tech University, Nanjing, China) ; Yin-Zhen Xu (Dpto. Ciencias Integradas, Centro de Estudios Avanzados en Fis., Mat. y Comp., Fac. Ciencias Experimentales, Universidad de Huelva, Huelva, Spain; Dpto. Sistemas Físicos, Químicos y Naturales, Univ. Pablo de Olavide, Sevilla, Spain) ; Khépani Raya (Dpto. Ciencias Integradas, Centro de Estudios Avanzados en Fis., Mat. y Comp., Fac. Ciencias Experimentales, Universidad de Huelva, Huelva, Spain) ; Craig D. Roberts (School of Physics, Nanjing University, Nanjing, China; Institute for Nonperturbative Physics, Nanjing University, Nanjing, China) ; José Rodríguez-Quintero (Dpto. Ciencias Integradas, Centro de Estudios Avanzados en Fis., Mat. y Comp., Fac. Ciencias Experimentales, Universidad de Huelva, Huelva, Spain)

Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The analysis introduces a means by which key odd moments can be obtained from the even moments in circumstances where only the latter are available. Combining these elements, one arrives at parameter-free lQCD-based predictions for the pointwise behaviour of pion valence, glue, and sea DFs, with sound uncertainty estimates. The behaviour of the pion DFs at large light-front momentum fraction, x0.85, is found to be consistent with QCD expectations and continuum analyses of pion structure functions, i.e., damping like (1x)βparton, with βvalence2.4, βglue3.6, βsea4.6. It may be possible to test these predictions using data from forthcoming experiments.

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      "source": "Elsevier", 
      "value": "Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The analysis introduces a means by which key odd moments can be obtained from the even moments in circumstances where only the latter are available. Combining these elements, one arrives at parameter-free lQCD-based predictions for the pointwise behaviour of pion valence, glue, and sea DFs, with sound uncertainty estimates. The behaviour of the pion DFs at large light-front momentum fraction, <math><mi>x</mi><mo>\u2273</mo><mn>0.85</mn></math>, is found to be consistent with QCD expectations and continuum analyses of pion structure functions, i.e., damping like <math><msup><mrow><mo>(</mo><mn>1</mn><mo>\u2212</mo><mi>x</mi><mo>)</mo></mrow><mrow><msub><mrow><mi>\u03b2</mi></mrow><mrow><mi>parton</mi></mrow></msub></mrow></msup></math>, with <math><msub><mrow><mi>\u03b2</mi></mrow><mrow><mi>valence</mi></mrow></msub><mo>\u2248</mo><mn>2.4</mn></math>, <math><msub><mrow><mi>\u03b2</mi></mrow><mrow><mi>glue</mi></mrow></msub><mo>\u2248</mo><mn>3.6</mn></math>, <math><msub><mrow><mi>\u03b2</mi></mrow><mrow><mi>sea</mi></mrow></msub><mo>\u2248</mo><mn>4.6</mn></math>. It may be possible to test these predictions using data from forthcoming experiments."
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Published on:
20 February 2024
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 850 C (2024)

Article ID: 138534
DOI:
https://doi.org/10.1016/j.physletb.2024.138534
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: