Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory
Abstract In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)046 |
| _version_ | 1811273794105376768 |
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| author | Zhi-Fu Deng Wei Wang Jun Zeng |
| author_facet | Zhi-Fu Deng Wei Wang Jun Zeng |
| author_sort | Zhi-Fu Deng |
| collection | DOAJ |
| description | Abstract In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-loop proof of TMD factorization of the form factor. For the one-loop validation, we also present a detailed calculation of O $$ \mathcal{O} $$ (α s ) perturbative corrections to these quantities, in which we adopt a modern technique for the calculation of TMD form factor based the integration by part and differential equation. The one-loop hard functions are then extracted. Using lattice data from Lattice Parton Collaboration on quasi-TMDWFs, we estimate the effects from the one-loop matching kernel and find that the perturbative corrections depend on the operator to define the form factor, but are less sensitive to the transverse separation. These results will be helpful to precisely extract the soft functions and TMD wave functions from the first-principle in future. |
| first_indexed | 2024-04-12T23:05:47Z |
| format | Article |
| id | doaj.art-71ea52f92a8643ab9233ef04c90aede9 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T23:05:47Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-71ea52f92a8643ab9233ef04c90aede92022-12-22T03:12:55ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022914410.1007/JHEP09(2022)046Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theoryZhi-Fu Deng0Wei Wang1Jun Zeng2INPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityINPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityINPAC, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong UniversityAbstract In large-momentum effective theory (LaMET), the transverse-momentum-dependent (TMD) light-front wave functions and soft functions can be extracted from the simulation of a four-quark form factor and equal-time correlation functions. In this work, using expansion by regions we provide a one-loop proof of TMD factorization of the form factor. For the one-loop validation, we also present a detailed calculation of O $$ \mathcal{O} $$ (α s ) perturbative corrections to these quantities, in which we adopt a modern technique for the calculation of TMD form factor based the integration by part and differential equation. The one-loop hard functions are then extracted. Using lattice data from Lattice Parton Collaboration on quasi-TMDWFs, we estimate the effects from the one-loop matching kernel and find that the perturbative corrections depend on the operator to define the form factor, but are less sensitive to the transverse separation. These results will be helpful to precisely extract the soft functions and TMD wave functions from the first-principle in future.https://doi.org/10.1007/JHEP09(2022)046Parton DistributionsEffective Field Theories of QCDLattice QCD |
| spellingShingle | Zhi-Fu Deng Wei Wang Jun Zeng Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory Journal of High Energy Physics Parton Distributions Effective Field Theories of QCD Lattice QCD |
| title | Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory |
| title_full | Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory |
| title_fullStr | Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory |
| title_full_unstemmed | Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory |
| title_short | Transverse-momentum-dependent wave functions and soft functions at one-loop in large momentum effective theory |
| title_sort | transverse momentum dependent wave functions and soft functions at one loop in large momentum effective theory |
| topic | Parton Distributions Effective Field Theories of QCD Lattice QCD |
| url | https://doi.org/10.1007/JHEP09(2022)046 |
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