{"title":"高统计量的2+1+1晶格QCD的介子胶子分布和动量分数","authors":"Alex NieMiera, William Good, Huey-Wen Lin","doi":"10.1103/89mq-gx33","DOIUrl":null,"url":null,"abstract":"We present a high-statistics lattice-QCD determination of the kaon gluon parton distribution function and gluon momentum fraction. We use clover valence fermion action to take 1,296,640 kaon-correlator measurements on a highly improved staggered quark ensemble with a</a:mi>≈</a:mo>0.12</a:mn></a:mtext></a:mtext>fm</a:mi></a:math> and 310-MeV pion mass generated by the MILC Collaboration. A detailed investigation into the impact of gauge-link smearing on the gluonic matrix elements indicates that five steps of hypercubic smearing offer an effective balance between signal quality and preservation of long-distance physics. We report a nonperturbatively renormalized kaon gluon momentum fraction of <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mo stretchy=\"false\">⟨</c:mo><c:mi>x</c:mi><c:msubsup><c:mo stretchy=\"false\">⟩</c:mo><c:mi>g</c:mi><c:mrow><c:mover accent=\"true\"><c:mi>MS</c:mi><c:mo stretchy=\"true\">¯</c:mo></c:mover><c:mo>,</c:mo><c:mi>K</c:mi></c:mrow></c:msubsup><c:mo>=</c:mo><c:mn>0.557</c:mn><c:mo stretchy=\"false\">(</c:mo><c:mn>18</c:mn><c:msub><c:mo stretchy=\"false\">)</c:mo><c:mrow><c:mi>stat</c:mi></c:mrow></c:msub><c:mo stretchy=\"false\">(</c:mo><c:mn>24</c:mn><c:msub><c:mo stretchy=\"false\">)</c:mo><c:mi>NPR</c:mi></c:msub><c:mo stretchy=\"false\">(</c:mo><c:mn>56</c:mn><c:msub><c:mo stretchy=\"false\">)</c:mo><c:mi>mixing</c:mi></c:msub></c:math> at <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mi>μ</o:mi><o:mo>=</o:mo><o:mn>2</o:mn><o:mtext> </o:mtext><o:mtext> </o:mtext><o:mi>GeV</o:mi></o:math> in the <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mover accent=\"true\"><q:mi>MS</q:mi><q:mo stretchy=\"true\">¯</q:mo></q:mover></q:math> scheme. Using reduced pseudo-Ioffe-time-distribution matrix elements and pseudo-parton-distribution-function (PDF) matching, we extract the kaon gluon PDF and compare with the prediction from the Dyson-Schwinger equation and with the pion PDF obtained from the same ensemble.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"1 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kaon gluon parton distribution and momentum fraction from 2+1+1 lattice QCD with high statistics\",\"authors\":\"Alex NieMiera, William Good, Huey-Wen Lin\",\"doi\":\"10.1103/89mq-gx33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a high-statistics lattice-QCD determination of the kaon gluon parton distribution function and gluon momentum fraction. We use clover valence fermion action to take 1,296,640 kaon-correlator measurements on a highly improved staggered quark ensemble with a</a:mi>≈</a:mo>0.12</a:mn></a:mtext></a:mtext>fm</a:mi></a:math> and 310-MeV pion mass generated by the MILC Collaboration. A detailed investigation into the impact of gauge-link smearing on the gluonic matrix elements indicates that five steps of hypercubic smearing offer an effective balance between signal quality and preservation of long-distance physics. We report a nonperturbatively renormalized kaon gluon momentum fraction of <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mo stretchy=\\\"false\\\">⟨</c:mo><c:mi>x</c:mi><c:msubsup><c:mo stretchy=\\\"false\\\">⟩</c:mo><c:mi>g</c:mi><c:mrow><c:mover accent=\\\"true\\\"><c:mi>MS</c:mi><c:mo stretchy=\\\"true\\\">¯</c:mo></c:mover><c:mo>,</c:mo><c:mi>K</c:mi></c:mrow></c:msubsup><c:mo>=</c:mo><c:mn>0.557</c:mn><c:mo stretchy=\\\"false\\\">(</c:mo><c:mn>18</c:mn><c:msub><c:mo stretchy=\\\"false\\\">)</c:mo><c:mrow><c:mi>stat</c:mi></c:mrow></c:msub><c:mo stretchy=\\\"false\\\">(</c:mo><c:mn>24</c:mn><c:msub><c:mo stretchy=\\\"false\\\">)</c:mo><c:mi>NPR</c:mi></c:msub><c:mo stretchy=\\\"false\\\">(</c:mo><c:mn>56</c:mn><c:msub><c:mo stretchy=\\\"false\\\">)</c:mo><c:mi>mixing</c:mi></c:msub></c:math> at <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mi>μ</o:mi><o:mo>=</o:mo><o:mn>2</o:mn><o:mtext> </o:mtext><o:mtext> </o:mtext><o:mi>GeV</o:mi></o:math> in the <q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:mover accent=\\\"true\\\"><q:mi>MS</q:mi><q:mo stretchy=\\\"true\\\">¯</q:mo></q:mover></q:math> scheme. Using reduced pseudo-Ioffe-time-distribution matrix elements and pseudo-parton-distribution-function (PDF) matching, we extract the kaon gluon PDF and compare with the prediction from the Dyson-Schwinger equation and with the pion PDF obtained from the same ensemble.\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-10-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/89mq-gx33\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/89mq-gx33","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Kaon gluon parton distribution and momentum fraction from 2+1+1 lattice QCD with high statistics
We present a high-statistics lattice-QCD determination of the kaon gluon parton distribution function and gluon momentum fraction. We use clover valence fermion action to take 1,296,640 kaon-correlator measurements on a highly improved staggered quark ensemble with a≈0.12fm and 310-MeV pion mass generated by the MILC Collaboration. A detailed investigation into the impact of gauge-link smearing on the gluonic matrix elements indicates that five steps of hypercubic smearing offer an effective balance between signal quality and preservation of long-distance physics. We report a nonperturbatively renormalized kaon gluon momentum fraction of ⟨x⟩gMS¯,K=0.557(18)stat(24)NPR(56)mixing at μ=2GeV in the MS¯ scheme. Using reduced pseudo-Ioffe-time-distribution matrix elements and pseudo-parton-distribution-function (PDF) matching, we extract the kaon gluon PDF and compare with the prediction from the Dyson-Schwinger equation and with the pion PDF obtained from the same ensemble.
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
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Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
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Astrophysics and astroparticle physics,
General relativity,
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String theory, quantum gravity, gauge/gravity duality.