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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>=...

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Detalles Bibliográficos
Autores principales: 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
Lenguaje:eng
Publicado: 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevLett.127.252001
http://cds.cern.ch/record/2782582
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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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