Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions
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 m...
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| creator | Min-Huan Chu Zhi-Fu Deng Hua, Jun Ji, Xiangdong Schäfer, Andreas Su, Yushan Sun, Peng Wang, Wei Yi-Bo, Yang Zeng, Jun Zhang, Jialu Jian-Hui, Zhang Qi-An, Zhang |
| description | 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 HISQ sea and lattice spacing \(a=0.12\)~fm from MILC, 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. |
| doi_str_mv | 10.48550/arxiv.2204.00200 |
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We first obtain the quasi TMD wave functions at three different meson momenta on a lattice with valence clover quarks on a dynamical HISQ sea and lattice spacing \(a=0.12\)~fm from MILC, 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. 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Our results potentially allow for a determination of the soft function and other transverse-momentum dependent quantities at one-loop accuracy.</description><subject>Kernels</subject><subject>Matching</subject><subject>Mathematical analysis</subject><subject>Momentum</subject><subject>Operators (mathematics)</subject><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - High Energy Physics - Phenomenology</subject><subject>Wave functions</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotkE1LAzEQhoMgWGp_gCcDnrfmY7NJj1KtFasiLXhcpt0JbNlN1mS36L83bT3NzMvLw_AQcsPZNDdKsXsIP_VhKgTLp4wJxi7ISEjJM5MLcUUmMe5ZygstlJIj0r5712Hoh7CFvj4gfcQeQ1u7dHlHvaVz3zS1i9napx59xeCwoTb4ln4OEGu6CeDiAUPE7M236PqhTZAOXZV2-gWJuRjc7oiL1-TSQhNx8j_HZL142syX2erj-WX-sMpACZ0Bg10143mhKruzleWVmCkALRU3WkFhuLQziVu15WhRMWuM5ZoZDbkwIOWY3J6pJxVlF-oWwm95VFKelKTG3bnRBf89YOzLvR-CSy-VosgLI3XBtPwDobBmGA</recordid><startdate>20220401</startdate><enddate>20220401</enddate><creator>Min-Huan Chu</creator><creator>Zhi-Fu Deng</creator><creator>Hua, Jun</creator><creator>Ji, Xiangdong</creator><creator>Schäfer, Andreas</creator><creator>Su, Yushan</creator><creator>Sun, Peng</creator><creator>Wang, Wei</creator><creator>Yi-Bo, Yang</creator><creator>Zeng, Jun</creator><creator>Zhang, Jialu</creator><creator>Jian-Hui, Zhang</creator><creator>Qi-An, Zhang</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20220401</creationdate><title>Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions</title><author>Min-Huan Chu ; 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| subjects | Kernels Matching Mathematical analysis Momentum Operators (mathematics) Physics - High Energy Physics - Lattice Physics - High Energy Physics - Phenomenology Wave functions |
| title | Nonperturbative Determination of Collins-Soper Kernel from Quasi Transverse-Momentum Dependent Wave Functions |
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