Quark and gluon momentum fractions in the pion and in the kaon
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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909201725390848 |
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| author | Alexandrou, Constantia Bacchio, Simone Constantinou, Martha Delmar, Joseph Finkenrath, Jacob Kostrzewa, Bartosz Petschlies, Marcus Chacon, Luis Alberto Rodriguez Spanoudes, Gregoris Steffens, Fernanda Urbach, Carsten wenger, Urs |
| author_facet | Alexandrou, Constantia Bacchio, Simone Constantinou, Martha Delmar, Joseph Finkenrath, Jacob Kostrzewa, Bartosz Petschlies, Marcus Chacon, Luis Alberto Rodriguez Spanoudes, Gregoris Steffens, Fernanda Urbach, Carsten wenger, Urs |
| contents | We present the full decomposition of the momentum fraction carried by quarks and gluons in the pion and the kaon. We employ three gauge ensembles generated with $N_f=2+1+1$ Wilson twisted-mass clover-improved fermions at the physical quark masses. For both mesons we perform a continuum extrapolation directly at the physical pion mass, which allows us to determine for the first time the momentum decomposition at the physical point. We find that the total momentum fraction carried by quarks is 0.532(56) and 0.618(32) and by gluons 0.388(49) and 0.408(61) in the pion and in the kaon, respectively, in the $\overline{\mathrm{MS}}$ scheme and at the renormalization scale of 2 GeV.
Having computed both the quark and gluon contributions in the continuum limit, we find that the momentum sum is 0.926(68) for the pion and 1.046(90) for the kaon, verifying the momentum sum rule. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_08529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quark and gluon momentum fractions in the pion and in the kaon Alexandrou, Constantia Bacchio, Simone Constantinou, Martha Delmar, Joseph Finkenrath, Jacob Kostrzewa, Bartosz Petschlies, Marcus Chacon, Luis Alberto Rodriguez Spanoudes, Gregoris Steffens, Fernanda Urbach, Carsten wenger, Urs High Energy Physics - Lattice High Energy Physics - Phenomenology We present the full decomposition of the momentum fraction carried by quarks and gluons in the pion and the kaon. We employ three gauge ensembles generated with $N_f=2+1+1$ Wilson twisted-mass clover-improved fermions at the physical quark masses. For both mesons we perform a continuum extrapolation directly at the physical pion mass, which allows us to determine for the first time the momentum decomposition at the physical point. We find that the total momentum fraction carried by quarks is 0.532(56) and 0.618(32) and by gluons 0.388(49) and 0.408(61) in the pion and in the kaon, respectively, in the $\overline{\mathrm{MS}}$ scheme and at the renormalization scale of 2 GeV. Having computed both the quark and gluon contributions in the continuum limit, we find that the momentum sum is 0.926(68) for the pion and 1.046(90) for the kaon, verifying the momentum sum rule. |
| title | Quark and gluon momentum fractions in the pion and in the kaon |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.08529 |