Nonperturbative Collins-Soper kernel from chiral quarks with physical masses
We present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation is conducted, for the first time, employing the chiral-symm...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324001758 |
| _version_ | 1797213457993433088 |
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| author | Dennis Bollweg Xiang Gao Swagato Mukherjee Yong Zhao |
| author_facet | Dennis Bollweg Xiang Gao Swagato Mukherjee Yong Zhao |
| author_sort | Dennis Bollweg |
| collection | DOAJ |
| description | We present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation is conducted, for the first time, employing the chiral-symmetry-preserving domain wall fermion discretization and physical values of light and strange quark masses. The CS kernel is extracted from the ratios of pion quasi-transverse-momentum-dependent wave functions (quasi-TMDWFs) at next-to-leading logarithmic perturbative accuracy. Also for the first time, we utilize the recently proposed Coulomb-gauge-fixed quasi-TMDWF correlator without a Wilson line. We observe significantly slower signal decay with increasing quark separations compared to the established gauge-invariant method with a staple-shaped Wilson line. This enables us to determine the CS kernel at large nonperturbative transverse separations and find its near-linear dependence on the latter. Our result is consistent with the recent lattice calculation using gauge-invariant quasi-TMDWFs, and agrees with various recent phenomenological parametrizations of experimental data. |
| first_indexed | 2024-04-24T10:58:35Z |
| format | Article |
| id | doaj.art-6768aab05dc447619a8202511dcb51bc |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-24T10:58:35Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-6768aab05dc447619a8202511dcb51bc2024-04-12T04:44:17ZengElsevierPhysics Letters B0370-26932024-05-01852138617Nonperturbative Collins-Soper kernel from chiral quarks with physical massesDennis Bollweg0Xiang Gao1Swagato Mukherjee2Yong Zhao3Physics Department, Brookhaven National Laboratory, Upton, NY 11973, USAPhysics Division, Argonne National Laboratory, Lemont, IL 60439, USA; Corresponding author.Physics Department, Brookhaven National Laboratory, Upton, NY 11973, USAPhysics Division, Argonne National Laboratory, Lemont, IL 60439, USAWe present a lattice QCD calculation of the rapidity anomalous dimension of quark transverse-momentum-dependent distributions, i.e., the Collins-Soper (CS) kernel, up to transverse separations of about 1 fm. This unitary lattice calculation is conducted, for the first time, employing the chiral-symmetry-preserving domain wall fermion discretization and physical values of light and strange quark masses. The CS kernel is extracted from the ratios of pion quasi-transverse-momentum-dependent wave functions (quasi-TMDWFs) at next-to-leading logarithmic perturbative accuracy. Also for the first time, we utilize the recently proposed Coulomb-gauge-fixed quasi-TMDWF correlator without a Wilson line. We observe significantly slower signal decay with increasing quark separations compared to the established gauge-invariant method with a staple-shaped Wilson line. This enables us to determine the CS kernel at large nonperturbative transverse separations and find its near-linear dependence on the latter. Our result is consistent with the recent lattice calculation using gauge-invariant quasi-TMDWFs, and agrees with various recent phenomenological parametrizations of experimental data.http://www.sciencedirect.com/science/article/pii/S0370269324001758Transverse-momentum-dependent distributionsCollins-Soper kernelLattice QCDCoulomb gaugeDomain-wall fermion |
| spellingShingle | Dennis Bollweg Xiang Gao Swagato Mukherjee Yong Zhao Nonperturbative Collins-Soper kernel from chiral quarks with physical masses Physics Letters B Transverse-momentum-dependent distributions Collins-Soper kernel Lattice QCD Coulomb gauge Domain-wall fermion |
| title | Nonperturbative Collins-Soper kernel from chiral quarks with physical masses |
| title_full | Nonperturbative Collins-Soper kernel from chiral quarks with physical masses |
| title_fullStr | Nonperturbative Collins-Soper kernel from chiral quarks with physical masses |
| title_full_unstemmed | Nonperturbative Collins-Soper kernel from chiral quarks with physical masses |
| title_short | Nonperturbative Collins-Soper kernel from chiral quarks with physical masses |
| title_sort | nonperturbative collins soper kernel from chiral quarks with physical masses |
| topic | Transverse-momentum-dependent distributions Collins-Soper kernel Lattice QCD Coulomb gauge Domain-wall fermion |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324001758 |
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