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Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD
We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with <math display="inline"><msub><mi>N</mi><mi>f</mi></msub><mo>=...
Autores principales: | , , , , , , , , , , , , , |
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Lenguaje: | eng |
Publicado: |
2021
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevLett.127.252001 http://cds.cern.ch/record/2782582 |
_version_ | 1780972013992542208 |
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author | Alexandrou, Constantia Bacchio, Simone Bergner, Georg Finkenrath, Jacob Gasbarro, Andrew Hadjiyiannakou, Kyriakos Jansen, Karl Kostrzewa, Bartosz Ottnad, Konstantin Petschlies, Marcus Pittler, Ferenc Steffens, Fernanda Urbach, Carsten Wenger, Urs |
author_facet | Alexandrou, Constantia Bacchio, Simone Bergner, Georg Finkenrath, Jacob Gasbarro, Andrew Hadjiyiannakou, Kyriakos Jansen, Karl Kostrzewa, Bartosz Ottnad, Konstantin Petschlies, Marcus Pittler, Ferenc Steffens, Fernanda Urbach, Carsten Wenger, Urs |
author_sort | Alexandrou, Constantia |
collection | CERN |
description | We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with <math display="inline"><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>1</mn></math> Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the <math display="inline"><mover accent="true"><mi>MS</mi><mo stretchy="true">¯</mo></mover></math> scheme at 2 GeV. We find <math display="inline"><mrow><mo stretchy="false">⟨</mo><mi>x</mi><msub><mrow><mo stretchy="false">⟩</mo></mrow><mrow><mi>u</mi><mo>+</mo><mi>d</mi></mrow></msub><mo>=</mo><mn>0.601</mn><mo stretchy="false">(</mo><mn>28</mn><mo stretchy="false">)</mo></mrow></math>, <math display="inline"><mo stretchy="false">⟨</mo><mi>x</mi><msub><mo stretchy="false">⟩</mo><mi>s</mi></msub><mo>=</mo><mn>0.059</mn><mo stretchy="false">(</mo><mn>13</mn><mo stretchy="false">)</mo></math>, <math display="inline"><mo stretchy="false">⟨</mo><mi>x</mi><msub><mo stretchy="false">⟩</mo><mi>c</mi></msub><mo>=</mo><mn>0.019</mn><mo stretchy="false">(</mo><mn>05</mn><mo stretchy="false">)</mo></math>, and <math display="inline"><mo stretchy="false">⟨</mo><mi>x</mi><msub><mo stretchy="false">⟩</mo><mi>g</mi></msub><mo>=</mo><mn>0.52</mn><mo stretchy="false">(</mo><mn>11</mn><mo stretchy="false">)</mo></math> for the separate contributions, respectively, whose sum saturates the momentum sum rule. |
id | cern-2782582 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2021 |
record_format | invenio |
spelling | cern-27825822023-09-22T03:25:26Zdoi:10.1103/PhysRevLett.127.252001http://cds.cern.ch/record/2782582engAlexandrou, ConstantiaBacchio, SimoneBergner, GeorgFinkenrath, JacobGasbarro, AndrewHadjiyiannakou, KyriakosJansen, KarlKostrzewa, BartoszOttnad, KonstantinPetschlies, MarcusPittler, FerencSteffens, FernandaUrbach, CarstenWenger, UrsQuark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCDhep-phParticle Physics - Phenomenologyhep-latParticle Physics - LatticeWe perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with <math display="inline"><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>1</mn></math> Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the <math display="inline"><mover accent="true"><mi>MS</mi><mo stretchy="true">¯</mo></mover></math> scheme at 2 GeV. We find <math display="inline"><mrow><mo stretchy="false">⟨</mo><mi>x</mi><msub><mrow><mo stretchy="false">⟩</mo></mrow><mrow><mi>u</mi><mo>+</mo><mi>d</mi></mrow></msub><mo>=</mo><mn>0.601</mn><mo stretchy="false">(</mo><mn>28</mn><mo stretchy="false">)</mo></mrow></math>, <math display="inline"><mo stretchy="false">⟨</mo><mi>x</mi><msub><mo stretchy="false">⟩</mo><mi>s</mi></msub><mo>=</mo><mn>0.059</mn><mo stretchy="false">(</mo><mn>13</mn><mo stretchy="false">)</mo></math>, <math display="inline"><mo stretchy="false">⟨</mo><mi>x</mi><msub><mo stretchy="false">⟩</mo><mi>c</mi></msub><mo>=</mo><mn>0.019</mn><mo stretchy="false">(</mo><mn>05</mn><mo stretchy="false">)</mo></math>, and <math display="inline"><mo stretchy="false">⟨</mo><mi>x</mi><msub><mo stretchy="false">⟩</mo><mi>g</mi></msub><mo>=</mo><mn>0.52</mn><mo stretchy="false">(</mo><mn>11</mn><mo stretchy="false">)</mo></math> for the separate contributions, respectively, whose sum saturates the momentum sum rule.We perform the first full decomposition of the pion momentum into its gluon and quark contributions. We employ an ensemble generated by the Extended Twisted Mass Collaboration with $N$$_f$=2 + 1 +1 Wilson twisted mass clover fermions at maximal twist tuned to reproduce the physical pion mass. We present our results in the $\overline{\mathrm{MS}}$ scheme at 2 GeV. We find $(x)$$_{u+d}$ = 0.601(28), $(x)$$_{s}$ = 0.059(13), $(x)$$_{c}$ = 0.019(05)$, and $(x)$$_{g}$ = 0.52(11) for the separate contributions, respectively, whose sum saturates the momentum sum rule.arXiv:2109.10692oai:cds.cern.ch:27825822021-09-22 |
spellingShingle | hep-ph Particle Physics - Phenomenology hep-lat Particle Physics - Lattice Alexandrou, Constantia Bacchio, Simone Bergner, Georg Finkenrath, Jacob Gasbarro, Andrew Hadjiyiannakou, Kyriakos Jansen, Karl Kostrzewa, Bartosz Ottnad, Konstantin Petschlies, Marcus Pittler, Ferenc Steffens, Fernanda Urbach, Carsten Wenger, Urs Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD |
title | Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD |
title_full | Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD |
title_fullStr | Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD |
title_full_unstemmed | Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD |
title_short | Quark and gluon momentum fractions in the pion from $N_f=2+1+1$ lattice QCD |
title_sort | quark and gluon momentum fractions in the pion from $n_f=2+1+1$ lattice qcd |
topic | hep-ph Particle Physics - Phenomenology hep-lat Particle Physics - Lattice |
url | https://dx.doi.org/10.1103/PhysRevLett.127.252001 http://cds.cern.ch/record/2782582 |
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