Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton
A new type of parametrization for parton distribution functions in the proton, based on their <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>Q</mi><mn>2</mn></msup></s...
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MDPI AG
2022-11-01
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| Series: | Particles |
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| Online Access: | https://www.mdpi.com/2571-712X/5/4/39 |
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| author | Nizami A. Abdulov Anatoly V. Kotikov Artem Lipatov |
| author_facet | Nizami A. Abdulov Anatoly V. Kotikov Artem Lipatov |
| author_sort | Nizami A. Abdulov |
| collection | DOAJ |
| description | A new type of parametrization for parton distribution functions in the proton, based on their <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>Q</mi><mn>2</mn></msup></semantics></math></inline-formula>-evolution at large and small <i>x</i> values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross–Llewellyn–Smith and Gottfried sum rules, respectively. For the singlet quark and gluon densities, momentum conservation is taken into account. Then, using the Kimber–Martin–Ryskin prescription, we extend the consideration to Transverse Momentum Dependent (TMD, or unintegrated) gluon and quark distributions in the proton, which currently plays an important role in a the number of phenomenological applications. The analytical expressions for the latter, valid for both low and large <i>x</i>, are derived for the first time. |
| first_indexed | 2024-03-09T15:59:57Z |
| format | Article |
| id | doaj.art-0f291b2f027c4072a98567578be8618e |
| institution | Directory Open Access Journal |
| issn | 2571-712X |
| language | English |
| last_indexed | 2024-03-09T15:59:57Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Particles |
| spelling | doaj.art-0f291b2f027c4072a98567578be8618e2023-11-24T17:11:50ZengMDPI AGParticles2571-712X2022-11-015453556010.3390/particles5040039Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in ProtonNizami A. Abdulov0Anatoly V. Kotikov1Artem Lipatov2Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, RussiaSkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, RussiaA new type of parametrization for parton distribution functions in the proton, based on their <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>Q</mi><mn>2</mn></msup></semantics></math></inline-formula>-evolution at large and small <i>x</i> values, is constructed. In our analysis, the valence and nonsinglet parts obey the Gross–Llewellyn–Smith and Gottfried sum rules, respectively. For the singlet quark and gluon densities, momentum conservation is taken into account. Then, using the Kimber–Martin–Ryskin prescription, we extend the consideration to Transverse Momentum Dependent (TMD, or unintegrated) gluon and quark distributions in the proton, which currently plays an important role in a the number of phenomenological applications. The analytical expressions for the latter, valid for both low and large <i>x</i>, are derived for the first time.https://www.mdpi.com/2571-712X/5/4/39QCD evolutionparton density functions in the protonKimber–Martin–Ryskin approach |
| spellingShingle | Nizami A. Abdulov Anatoly V. Kotikov Artem Lipatov Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton Particles QCD evolution parton density functions in the proton Kimber–Martin–Ryskin approach |
| title | Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton |
| title_full | Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton |
| title_fullStr | Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton |
| title_full_unstemmed | Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton |
| title_short | Parametrizations of Collinear and <i>k</i><sub><i>T</i></sub>-Dependent Parton Densities in Proton |
| title_sort | parametrizations of collinear and i k i sub i t i sub dependent parton densities in proton |
| topic | QCD evolution parton density functions in the proton Kimber–Martin–Ryskin approach |
| url | https://www.mdpi.com/2571-712X/5/4/39 |
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