Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons
Abstract The $$\Upsilon (1S)$$ Υ ( 1 S ) meson production and polarization at high energies is studied in the framework of the $$k_T$$ k T -factorization approach. Our consideration is based on the non-relativistic QCD formalism for a bound states formation and off-shell production amplitudes for ha...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09880-5 |
| _version_ | 1818461602562703360 |
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| author | N. A. Abdulov A. V. Lipatov |
| author_facet | N. A. Abdulov A. V. Lipatov |
| author_sort | N. A. Abdulov |
| collection | DOAJ |
| description | Abstract The $$\Upsilon (1S)$$ Υ ( 1 S ) meson production and polarization at high energies is studied in the framework of the $$k_T$$ k T -factorization approach. Our consideration is based on the non-relativistic QCD formalism for a bound states formation and off-shell production amplitudes for hard partonic subprocesses. The direct production mechanism, feed-down contributions from radiative $$\chi _b(mP)$$ χ b ( m P ) decays and contributions from $$\Upsilon (3S)$$ Υ ( 3 S ) and $$\Upsilon (2S)$$ Υ ( 2 S ) decays are taken into account. The transverse momentum dependent (TMD) gluon densities in a proton were derived from the Ciafaloni–Catani–Fiorani–Marchesini evolution equation and the Kimber-Martin–Ryskin prescription. Treating the non-perturbative color octet transitions in terms of multipole radiation theory, we extract the corresponding non-perturbative matrix elements for $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons from a combined fit to transverse momenta distributions measured at various LHC experiments. Then we apply the extracted values to investigate the polarization parameters $$\lambda _\theta $$ λ θ , $$\lambda _\phi $$ λ ϕ and $$\lambda _{\theta \phi }$$ λ θ ϕ , which determine the $$\Upsilon (1S)$$ Υ ( 1 S ) spin density matrix. Our predictions have a reasonably good agreement with the currently available Tevatron and LHC data within the theoretical and experimental uncertainties. |
| first_indexed | 2024-12-14T23:48:45Z |
| format | Article |
| id | doaj.art-efa84365453f4a04859b3dd29bd13d7d |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-14T23:48:45Z |
| publishDate | 2021-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-efa84365453f4a04859b3dd29bd13d7d2022-12-21T22:43:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-12-01811211710.1140/epjc/s10052-021-09880-5Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesonsN. A. Abdulov0A. V. Lipatov1Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State UniversitySkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State UniversityAbstract The $$\Upsilon (1S)$$ Υ ( 1 S ) meson production and polarization at high energies is studied in the framework of the $$k_T$$ k T -factorization approach. Our consideration is based on the non-relativistic QCD formalism for a bound states formation and off-shell production amplitudes for hard partonic subprocesses. The direct production mechanism, feed-down contributions from radiative $$\chi _b(mP)$$ χ b ( m P ) decays and contributions from $$\Upsilon (3S)$$ Υ ( 3 S ) and $$\Upsilon (2S)$$ Υ ( 2 S ) decays are taken into account. The transverse momentum dependent (TMD) gluon densities in a proton were derived from the Ciafaloni–Catani–Fiorani–Marchesini evolution equation and the Kimber-Martin–Ryskin prescription. Treating the non-perturbative color octet transitions in terms of multipole radiation theory, we extract the corresponding non-perturbative matrix elements for $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons from a combined fit to transverse momenta distributions measured at various LHC experiments. Then we apply the extracted values to investigate the polarization parameters $$\lambda _\theta $$ λ θ , $$\lambda _\phi $$ λ ϕ and $$\lambda _{\theta \phi }$$ λ θ ϕ , which determine the $$\Upsilon (1S)$$ Υ ( 1 S ) spin density matrix. Our predictions have a reasonably good agreement with the currently available Tevatron and LHC data within the theoretical and experimental uncertainties.https://doi.org/10.1140/epjc/s10052-021-09880-5 |
| spellingShingle | N. A. Abdulov A. V. Lipatov Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons European Physical Journal C: Particles and Fields |
| title | Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons |
| title_full | Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons |
| title_fullStr | Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons |
| title_full_unstemmed | Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons |
| title_short | Bottomonium production and polarization in the NRQCD with $$k_T$$ k T -factorization. III: $$\Upsilon (1S)$$ Υ ( 1 S ) and $$\chi _b(1P)$$ χ b ( 1 P ) mesons |
| title_sort | bottomonium production and polarization in the nrqcd with k t k t factorization iii upsilon 1s υ 1 s and chi b 1p χ b 1 p mesons |
| url | https://doi.org/10.1140/epjc/s10052-021-09880-5 |
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