We present the light-flavor quark masses and low-energy constants using the flavor full-QCD ensembles with stout smeared-clover fermion action and Symanzik gauge action. Both the fermion and gauge actions are tadpole improved self-consistently. The simulations are performed on 11 ensembles at three lattice spacings , four spatial sizes , seven pion masses , and several values of the strange quark mass. The quark mass is defined through the partially conserved axial current relation and renormalized to through the intermediate regularization independent momentum subtraction scheme. The systematic uncertainty of using the symmetric momentum subtraction scheme is also included. Eventually, we predict , , and with the systematic uncertainties from lattice spacing determination, continuum extrapolation and renormalization constant included. We also obtain the chiral condensate and the pion decay constant in the chiral limit, and the next-to-leading order low-energy constants and .
{
"_oai": {
"updated": "2024-03-20T00:30:24Z",
"id": "oai:repo.scoap3.org:84139",
"sets": [
"PRD"
]
},
"authors": [
{
"raw_name": "Zhi-Cheng Hu",
"affiliations": [
{
"country": "China",
"value": "Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China"
},
{
"country": "China",
"value": "University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China"
}
],
"surname": "Hu",
"given_names": "Zhi-Cheng",
"full_name": "Hu, Zhi-Cheng"
},
{
"raw_name": "Bo-Lun Hu",
"affiliations": [
{
"country": "China",
"value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China"
}
],
"surname": "Hu",
"given_names": "Bo-Lun",
"full_name": "Hu, Bo-Lun"
},
{
"raw_name": "Ji-Hao Wang",
"affiliations": [
{
"country": "China",
"value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China"
},
{
"country": "China",
"value": "University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China"
}
],
"surname": "Wang",
"given_names": "Ji-Hao",
"full_name": "Wang, Ji-Hao"
},
{
"raw_name": "Ming Gong",
"affiliations": [
{
"country": "China",
"value": "Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China"
}
],
"surname": "Gong",
"given_names": "Ming",
"full_name": "Gong, Ming"
},
{
"raw_name": "Guoming Liu",
"affiliations": [
{
"country": "China",
"value": "Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China"
},
{
"country": "China",
"value": "Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China"
}
],
"surname": "Liu",
"given_names": "Guoming",
"full_name": "Liu, Guoming"
},
{
"raw_name": "Liuming Liu",
"affiliations": [
{
"country": "China",
"value": "Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China"
},
{
"country": "China",
"value": "University of Chinese Academy of Sciences, Beijing 100049, China."
}
],
"surname": "Liu",
"given_names": "Liuming",
"full_name": "Liu, Liuming"
},
{
"raw_name": "Peng Sun",
"affiliations": [
{
"country": "China",
"value": "Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China"
}
],
"surname": "Sun",
"given_names": "Peng",
"full_name": "Sun, Peng"
},
{
"raw_name": "Wei Sun",
"affiliations": [
{
"country": "China",
"value": "Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China"
}
],
"surname": "Sun",
"given_names": "Wei",
"full_name": "Sun, Wei"
},
{
"raw_name": "Wei Wang",
"affiliations": [
{
"country": "China",
"value": "Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, Guangdong Province, China"
},
{
"country": "China",
"value": "INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, Key Laboratory for Particle Astrophysics and Cosmology (MOE), 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": "University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China"
},
{
"country": "China",
"value": "International Centre for Theoretical Physics Asia-Pacific, Beijing/Hangzhou 100049, China"
},
{
"country": "China",
"value": "School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China"
}
],
"surname": "Yang",
"given_names": "Yi-Bo",
"full_name": "Yang, Yi-Bo"
},
{
"raw_name": "Dian-Jun Zhao",
"affiliations": [
{
"country": "China",
"value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China"
},
{
"country": "China",
"value": "University of Chinese Academy of Sciences, School of Physical Sciences, Beijing 100049, China"
}
],
"surname": "Zhao",
"given_names": "Dian-Jun",
"full_name": "Zhao, Dian-Jun"
}
],
"titles": [
{
"source": "APS",
"title": "Quark masses and low-energy constants in the continuum from the tadpole-improved clover ensembles"
}
],
"dois": [
{
"value": "10.1103/PhysRevD.109.054507"
}
],
"publication_info": [
{
"journal_volume": "109",
"journal_title": "Physical Review D",
"material": "article",
"journal_issue": "5",
"year": 2024
}
],
"$schema": "http://repo.scoap3.org/schemas/hep.json",
"acquisition_source": {
"date": "2024-03-20T00:30:18.144096",
"source": "APS",
"method": "APS",
"submission_number": "fc683a66e65011eeae4696b6a0e1ccbd"
},
"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": "2024"
}
],
"control_number": "84139",
"collaborations": [
{
"value": "CLQCD Collaboration"
}
],
"_files": [
{
"checksum": "md5:8254ba8aabc0228fb6113ce6e178cb06",
"filetype": "pdf",
"bucket": "3c8309fd-adea-4972-b654-6e0a6621319e",
"version_id": "4b12068c-e85f-4ed3-99c3-79303081ef01",
"key": "10.1103/PhysRevD.109.054507.pdf",
"size": 2219722
},
{
"checksum": "md5:9a26c3898e439d8c6b7b3cd2e25833fb",
"filetype": "xml",
"bucket": "3c8309fd-adea-4972-b654-6e0a6621319e",
"version_id": "adbfd8dc-2486-4bc8-bd83-f644014a6511",
"key": "10.1103/PhysRevD.109.054507.xml",
"size": 481815
}
],
"record_creation_date": "2024-03-19T16:30:03.283259",
"collections": [
{
"primary": "HEP"
},
{
"primary": "Citeable"
},
{
"primary": "Published"
}
],
"arxiv_eprints": [
{
"categories": [
"hep-lat",
"hep-ph"
],
"value": "2310.00814"
}
],
"abstracts": [
{
"source": "APS",
"value": "We present the light-flavor quark masses and low-energy constants using the <math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math> flavor full-QCD ensembles with stout smeared-clover fermion action and Symanzik gauge action. Both the fermion and gauge actions are tadpole improved self-consistently. The simulations are performed on 11 ensembles at three lattice spacings <math><mi>a</mi><mo>\u2208</mo><mo>[</mo><mn>0.05</mn><mo>,</mo><mn>0.11</mn><mo>]</mo><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, four spatial sizes <math><mi>L</mi><mo>\u2208</mo><mo>[</mo><mn>2.5</mn><mo>,</mo><mn>5.1</mn><mo>]</mo><mtext> </mtext><mtext> </mtext><mi>fm</mi></math>, seven pion masses <math><msub><mi>m</mi><mi>\u03c0</mi></msub><mo>\u2208</mo><mo>[</mo><mn>135</mn><mo>,</mo><mn>350</mn><mo>]</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>, and several values of the strange quark mass. The quark mass is defined through the partially conserved axial current relation and renormalized to <math><mrow><mover><mrow><mi>MS</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mo>(</mo><mn>2</mn><mtext> </mtext><mi>GeV</mi><mo>)</mo></mrow></math> through the intermediate regularization independent momentum subtraction scheme. The systematic uncertainty of using the symmetric momentum subtraction scheme is also included. Eventually, we predict <math><msub><mi>m</mi><mi>u</mi></msub><mo>=</mo><mn>2.45</mn><mo>(</mo><mn>22</mn><mo>)</mo><mo>(</mo><mn>20</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>, <math><msub><mi>m</mi><mi>d</mi></msub><mo>=</mo><mn>4.74</mn><mo>(</mo><mn>11</mn><mo>)</mo><mo>(</mo><mn>09</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>, and <math><msub><mi>m</mi><mi>s</mi></msub><mo>=</mo><mn>98.8</mn><mo>(</mo><mn>2.9</mn><mo>)</mo><mo>(</mo><mn>4.7</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math> with the systematic uncertainties from lattice spacing determination, continuum extrapolation and renormalization constant included. We also obtain the chiral condensate <math><msup><mi>\u03a3</mi><mrow><mn>1</mn><mo>/</mo><mn>3</mn></mrow></msup><mo>=</mo><mn>268.6</mn><mo>(</mo><mn>3.6</mn><mo>)</mo><mo>(</mo><mn>0.7</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math> and the pion decay constant <math><mi>F</mi><mo>=</mo><mn>86.6</mn><mo>(</mo><mn>7</mn><mo>)</mo><mo>(</mo><mn>1.4</mn><mo>)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math> in the <math><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn></math> chiral limit, and the next-to-leading order low-energy constants <math><msub><mo>\u2113</mo><mn>3</mn></msub><mo>=</mo><mn>2.43</mn><mo>(</mo><mn>54</mn><mo>)</mo><mo>(</mo><mn>05</mn><mo>)</mo></math> and <math><msub><mo>\u2113</mo><mn>4</mn></msub><mo>=</mo><mn>4.322</mn><mo>(</mo><mn>75</mn><mo>)</mo><mo>(</mo><mn>96</mn><mo>)</mo></math>."
}
],
"imprints": [
{
"date": "2024-03-19",
"publisher": "APS"
}
]
}