Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the qua...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-11-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320306067 |
| _version_ | 1818264985878396928 |
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| author | Wojciech Broniowski Enrique Ruiz Arriola |
| author_facet | Wojciech Broniowski Enrique Ruiz Arriola |
| author_sort | Wojciech Broniowski |
| collection | DOAJ |
| description | Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the quark model scale and agree well, after the necessary QCD evolution, with the most recent lattice calculations at the scale μ∼2 GeV for various values of the lattice pion mass. Comparisons are made as functions of the Ioffe time variable. We also comment on the information on the lowest moments in the momentum fraction x, generically extractable from such analyses, as well as on the inaccessibility of the x→1 limit from the present data. |
| first_indexed | 2024-12-12T19:43:37Z |
| format | Article |
| id | doaj.art-05f8acc9978b4688a9b30d028fbe342e |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-12T19:43:37Z |
| publishDate | 2020-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-05f8acc9978b4688a9b30d028fbe342e2022-12-22T00:14:08ZengElsevierPhysics Letters B0370-26932020-11-01810135803Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark modelWojciech Broniowski0Enrique Ruiz Arriola1The H. Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, 31-342 Kraków, Poland; Institute of Physics, Jan Kochanowski University, 25-406 Kielce, Poland; Corresponding author.Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Fisica Teórica y Computacional, Universidad de Granada, E-18071 Granada, SpainWithin a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector - axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the quark model scale and agree well, after the necessary QCD evolution, with the most recent lattice calculations at the scale μ∼2 GeV for various values of the lattice pion mass. Comparisons are made as functions of the Ioffe time variable. We also comment on the information on the lowest moments in the momentum fraction x, generically extractable from such analyses, as well as on the inaccessibility of the x→1 limit from the present data.http://www.sciencedirect.com/science/article/pii/S0370269320306067Valence parton distribution function of the pionNambu–Jona-Lasinio modelGood lattice QCD cross sectionsChiral symmetry |
| spellingShingle | Wojciech Broniowski Enrique Ruiz Arriola Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model Physics Letters B Valence parton distribution function of the pion Nambu–Jona-Lasinio model Good lattice QCD cross sections Chiral symmetry |
| title | Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model |
| title_full | Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model |
| title_fullStr | Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model |
| title_full_unstemmed | Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model |
| title_short | Vector - axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model |
| title_sort | vector axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model |
| topic | Valence parton distribution function of the pion Nambu–Jona-Lasinio model Good lattice QCD cross sections Chiral symmetry |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320306067 |
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