Gross-Llewellyn Smith sum rule from lattice QCD
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908405470330880 |
|---|---|
| author | Can, K. Utku Crawford, Joshua A. Horsley, Roger Rakow, Paul E. L. Schar, Thomas G. Schierholz, Gerrit Stüben, Hinnerk Young, Ross D. Zanotti, James M. |
| author_facet | Can, K. Utku Crawford, Joshua A. Horsley, Roger Rakow, Paul E. L. Schar, Thomas G. Schierholz, Gerrit Stüben, Hinnerk Young, Ross D. Zanotti, James M. |
| contents | We compute the Gross-Llewellyn Smith sum rule, i.e. the lowest odd moment of the parity-violating structure function, $F_3$, of the nucleon from a lattice QCD calculation of the Compton amplitude. Our calculations are performed on $48^3 \times 96$ lattices at the $SU(3)$ symmetric point for two lattice spacings. We extract the moments for several values of the current momenta in the range $0.5 \lesssim Q^2 \lesssim 10 \; {\rm GeV}^2$, covering both the nonperturbative and perturbative regimes. We compare our moments to the Gross-Llewellyn Smith sum rule and discuss the implications for higher-twist effects, a determination of $α_s(Q^2)$ from a hadronic quantity complementing the phenomenological and other lattice approaches, and electroweak box contributions crucial for Cabibbo-Kobayashi-Maskawa matrix unitarity studies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19704 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gross-Llewellyn Smith sum rule from lattice QCD Can, K. Utku Crawford, Joshua A. Horsley, Roger Rakow, Paul E. L. Schar, Thomas G. Schierholz, Gerrit Stüben, Hinnerk Young, Ross D. Zanotti, James M. High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory We compute the Gross-Llewellyn Smith sum rule, i.e. the lowest odd moment of the parity-violating structure function, $F_3$, of the nucleon from a lattice QCD calculation of the Compton amplitude. Our calculations are performed on $48^3 \times 96$ lattices at the $SU(3)$ symmetric point for two lattice spacings. We extract the moments for several values of the current momenta in the range $0.5 \lesssim Q^2 \lesssim 10 \; {\rm GeV}^2$, covering both the nonperturbative and perturbative regimes. We compare our moments to the Gross-Llewellyn Smith sum rule and discuss the implications for higher-twist effects, a determination of $α_s(Q^2)$ from a hadronic quantity complementing the phenomenological and other lattice approaches, and electroweak box contributions crucial for Cabibbo-Kobayashi-Maskawa matrix unitarity studies. |
| title | Gross-Llewellyn Smith sum rule from lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2502.19704 |