M. Costa, D. Gavriel, H. Panagopoulos, G. Spanoudes
{"title":"QCD运行耦合0 (am)改进的微扰确定","authors":"M. Costa, D. Gavriel, H. Panagopoulos, G. Spanoudes","doi":"10.1103/yyvs-6q5v","DOIUrl":null,"url":null,"abstract":"We present the perturbative results of the discretization errors proportional to the quark mass [O</a:mi>(</a:mo>a</a:mi>m</a:mi>)</a:mo></a:math>] on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the two-loop renormalization factor <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:msub><f:mi>Z</f:mi><f:mi>g</f:mi></f:msub></f:math> using improved lattice actions for the <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mi>S</h:mi><h:mi>U</h:mi><h:mo stretchy=\"false\">(</h:mo><h:msub><h:mi>N</h:mi><h:mi>c</h:mi></h:msub><h:mo stretchy=\"false\">)</h:mo></h:math> gauge group and <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:msub><l:mi>N</l:mi><l:mi>f</l:mi></l:msub></l:math> multiplets of fermions with a finite quark mass. We employ the background field method to compute <n:math xmlns:n=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><n:msub><n:mi>Z</n:mi><n:mi>g</n:mi></n:msub></n:math>, by calculating quantum corrections on both the background and quantum gluon propagator, respecting the <p:math xmlns:p=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><p:mi mathvariant=\"script\">O</p:mi><p:mo stretchy=\"false\">(</p:mo><p:mi>a</p:mi><p:mo stretchy=\"false\">)</p:mo></p:math> improvement. This allows us to evaluate the perturbative <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mi mathvariant=\"script\">O</u:mi><u:mo stretchy=\"false\">(</u:mo><u:mi>a</u:mi><u:mi>m</u:mi><u:mo stretchy=\"false\">)</u:mo></u:math> lattice errors which affect the determination of the running coupling. Eliminating these <z:math xmlns:z=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><z:mi mathvariant=\"script\">O</z:mi><z:mo stretchy=\"false\">(</z:mo><z:mi>a</z:mi><z:mi>m</z:mi><z:mo stretchy=\"false\">)</z:mo></z:math> effects is crucial for the nonperturbative studies of precision determinations of the strong coupling constant using lattice field theory.","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Perturbative determination of O(am) improvement on the QCD running coupling\",\"authors\":\"M. Costa, D. Gavriel, H. Panagopoulos, G. Spanoudes\",\"doi\":\"10.1103/yyvs-6q5v\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present the perturbative results of the discretization errors proportional to the quark mass [O</a:mi>(</a:mo>a</a:mi>m</a:mi>)</a:mo></a:math>] on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the two-loop renormalization factor <f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:msub><f:mi>Z</f:mi><f:mi>g</f:mi></f:msub></f:math> using improved lattice actions for the <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:mi>S</h:mi><h:mi>U</h:mi><h:mo stretchy=\\\"false\\\">(</h:mo><h:msub><h:mi>N</h:mi><h:mi>c</h:mi></h:msub><h:mo stretchy=\\\"false\\\">)</h:mo></h:math> gauge group and <l:math xmlns:l=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><l:msub><l:mi>N</l:mi><l:mi>f</l:mi></l:msub></l:math> multiplets of fermions with a finite quark mass. We employ the background field method to compute <n:math xmlns:n=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><n:msub><n:mi>Z</n:mi><n:mi>g</n:mi></n:msub></n:math>, by calculating quantum corrections on both the background and quantum gluon propagator, respecting the <p:math xmlns:p=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><p:mi mathvariant=\\\"script\\\">O</p:mi><p:mo stretchy=\\\"false\\\">(</p:mo><p:mi>a</p:mi><p:mo stretchy=\\\"false\\\">)</p:mo></p:math> improvement. This allows us to evaluate the perturbative <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:mi mathvariant=\\\"script\\\">O</u:mi><u:mo stretchy=\\\"false\\\">(</u:mo><u:mi>a</u:mi><u:mi>m</u:mi><u:mo stretchy=\\\"false\\\">)</u:mo></u:math> lattice errors which affect the determination of the running coupling. 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Perturbative determination of O(am) improvement on the QCD running coupling
We present the perturbative results of the discretization errors proportional to the quark mass [O(am)] on the QCD running coupling within lattice perturbation theory. Our analysis involves calculating the two-loop renormalization factor Zg using improved lattice actions for the SU(Nc) gauge group and Nf multiplets of fermions with a finite quark mass. We employ the background field method to compute Zg, by calculating quantum corrections on both the background and quantum gluon propagator, respecting the O(a) improvement. This allows us to evaluate the perturbative O(am) lattice errors which affect the determination of the running coupling. Eliminating these O(am) effects is crucial for the nonperturbative studies of precision determinations of the strong coupling constant using lattice field theory.
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:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.