Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions

Min-Huan Chu (Yang Yuanqing Scientific Computing Center, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China; INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China) ; Zhi-Fu Deng (INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China) ; Jun Hua (Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China; Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China; INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China) ; Xiangdong Ji (Department of Physics, University of Maryland, College Park, Maryland 20742, USA; Center for Nuclear Femtography, 1201 New York Avenue NW, Washington, D.C. 20005, USA) ; Andreas Schäfer (Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany) ; et al. - Show all 13 authors

In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation of the Collins-Soper kernel, which governs the rapidity evolution of transverse-momentum-dependent (TMD) distributions. We first obtain the quasi-TMD wave functions at three different meson momenta, on a lattice with valence clover quarks on a dynamical highly improved staggered quark sea and lattice spacing a=0.12 fm from the MILC Collaboration, and renormalize the pertinent linear divergences using Wilson loops. Through one-loop matching to the light-cone wave functions, we determine the Collins-Soper kernel with transverse separation up to 0.6 fm. We study the systematic uncertainties from operator mixing and scale dependence, as well as the impact from higher power corrections. Our results potentially allow for a determination of the soft function and other transverse-momentum-dependent quantities at one-loop accuracy.

{
  "_oai": {
    "updated": "2022-08-23T00:30:40Z", 
    "id": "oai:repo.scoap3.org:72137", 
    "sets": [
      "PRD"
    ]
  }, 
  "authors": [
    {
      "raw_name": "Min-Huan Chu", 
      "affiliations": [
        {
          "country": "China", 
          "value": "Yang Yuanqing Scientific Computing Center, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China"
        }, 
        {
          "country": "China", 
          "value": "INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Chu", 
      "given_names": "Min-Huan", 
      "full_name": "Chu, Min-Huan"
    }, 
    {
      "raw_name": "Zhi-Fu Deng", 
      "affiliations": [
        {
          "country": "China", 
          "value": "INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Deng", 
      "given_names": "Zhi-Fu", 
      "full_name": "Deng, Zhi-Fu"
    }, 
    {
      "raw_name": "Jun Hua", 
      "affiliations": [
        {
          "country": "China", 
          "value": "Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China"
        }, 
        {
          "country": "China", 
          "value": "Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China"
        }, 
        {
          "country": "China", 
          "value": "INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Hua", 
      "given_names": "Jun", 
      "full_name": "Hua, Jun"
    }, 
    {
      "raw_name": "Xiangdong Ji", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA"
        }, 
        {
          "country": "USA", 
          "value": "Center for Nuclear Femtography, 1201 New York Avenue NW, Washington, D.C. 20005, USA"
        }
      ], 
      "surname": "Ji", 
      "given_names": "Xiangdong", 
      "full_name": "Ji, Xiangdong"
    }, 
    {
      "raw_name": "Andreas Sch\u00e4fer", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Theoretische Physik, Universit\u00e4t Regensburg, D-93040 Regensburg, Germany"
        }
      ], 
      "surname": "Sch\u00e4fer", 
      "given_names": "Andreas", 
      "full_name": "Sch\u00e4fer, Andreas"
    }, 
    {
      "raw_name": "Yushan Su", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA"
        }
      ], 
      "surname": "Su", 
      "given_names": "Yushan", 
      "full_name": "Su, Yushan"
    }, 
    {
      "raw_name": "Peng Sun", 
      "affiliations": [
        {
          "country": "China", 
          "value": "Nanjing Normal University, Nanjing, Jiangsu 210023, China"
        }
      ], 
      "surname": "Sun", 
      "given_names": "Peng", 
      "full_name": "Sun, Peng"
    }, 
    {
      "raw_name": "Wei Wang", 
      "affiliations": [
        {
          "country": "China", 
          "value": "INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Wang", 
      "given_names": "Wei", 
      "full_name": "Wang, Wei"
    }, 
    {
      "raw_name": "Yi-Bo Yang", 
      "affiliations": [
        {
          "country": "China", 
          "value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China"
        }, 
        {
          "country": "China", 
          "value": "School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China"
        }, 
        {
          "country": "China", 
          "value": "International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou, China"
        }, 
        {
          "country": "China", 
          "value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China"
        }
      ], 
      "surname": "Yang", 
      "given_names": "Yi-Bo", 
      "full_name": "Yang, Yi-Bo"
    }, 
    {
      "raw_name": "Jun Zeng", 
      "affiliations": [
        {
          "country": "China", 
          "value": "INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Zeng", 
      "given_names": "Jun", 
      "full_name": "Zeng, Jun"
    }, 
    {
      "raw_name": "Jialu Zhang", 
      "affiliations": [
        {
          "country": "China", 
          "value": "INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Zhang", 
      "given_names": "Jialu", 
      "full_name": "Zhang, Jialu"
    }, 
    {
      "raw_name": "Jian-Hui Zhang", 
      "affiliations": [
        {
          "country": "China", 
          "value": "Department of Physics, Center of Advanced Quantum Studies, Beijing Normal University, Beijing 100875, China"
        }
      ], 
      "surname": "Zhang", 
      "given_names": "Jian-Hui", 
      "full_name": "Zhang, Jian-Hui"
    }, 
    {
      "raw_name": "Qi-An Zhang", 
      "affiliations": [
        {
          "country": "China", 
          "value": "School of Physics, Beihang University, Beijing 102206, China"
        }, 
        {
          "country": "China", 
          "value": "Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China"
        }
      ], 
      "surname": "Zhang", 
      "given_names": "Qi-An", 
      "full_name": "Zhang, Qi-An"
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Nonperturbative determination of the Collins-Soper kernel from quasitransverse-momentum-dependent wave functions"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.106.034509"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "106", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "3", 
      "year": 2022
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2022-08-23T00:30:25.067395", 
    "source": "APS", 
    "method": "APS", 
    "submission_number": "b8d23cd4227a11ed926792336c882b0f"
  }, 
  "page_nr": [
    21
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2022"
    }
  ], 
  "control_number": "72137", 
  "record_creation_date": "2022-08-22T14:30:04.652034", 
  "_files": [
    {
      "checksum": "md5:892b4d3fc16aab1dfd7b7b8b38f6c907", 
      "filetype": "pdf", 
      "bucket": "d2f0008f-fbb6-445b-8c1a-30774c074316", 
      "version_id": "cbf5c890-1603-4db5-a578-75862bc5f69a", 
      "key": "10.1103/PhysRevD.106.034509.pdf", 
      "size": 5148808
    }, 
    {
      "checksum": "md5:eb02374b5fc05d79680e7ccd092b8f3f", 
      "filetype": "xml", 
      "bucket": "d2f0008f-fbb6-445b-8c1a-30774c074316", 
      "version_id": "744d75c9-da1f-4a6f-8ec2-e655b2e8af42", 
      "key": "10.1103/PhysRevD.106.034509.xml", 
      "size": 276163
    }
  ], 
  "collections": [
    {
      "primary": "HEP"
    }, 
    {
      "primary": "Citeable"
    }, 
    {
      "primary": "Published"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-lat", 
        "hep-ph"
      ], 
      "value": "2204.00200"
    }
  ], 
  "abstracts": [
    {
      "source": "APS", 
      "value": "In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation of the Collins-Soper kernel, which governs the rapidity evolution of transverse-momentum-dependent (TMD) distributions. We first obtain the quasi-TMD wave functions at three different meson momenta, on a lattice with valence clover quarks on a dynamical highly improved staggered quark sea and lattice spacing <math><mi>a</mi><mo>=</mo><mn>0.12</mn><mtext> </mtext><mtext> </mtext><mi>fm</mi></math> from the MILC Collaboration, and renormalize the pertinent linear divergences using Wilson loops. Through one-loop matching to the light-cone wave functions, we determine the Collins-Soper kernel with transverse separation up to 0.6 fm. We study the systematic uncertainties from operator mixing and scale dependence, as well as the impact from higher power corrections. Our results potentially allow for a determination of the soft function and other transverse-momentum-dependent quantities at one-loop accuracy."
    }
  ], 
  "imprints": [
    {
      "date": "2022-08-22", 
      "publisher": "APS"
    }
  ]
}
Published on:
22 August 2022
Publisher:
APS
Published in:
Physical Review D , Volume 106 (2022)
Issue 3
DOI:
https://doi.org/10.1103/PhysRevD.106.034509
arXiv:
2204.00200
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: