Lattice QCD calculation of the $η$ and $η^{\prime}$ meson masses at the physical point using rooted staggered fermions
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916412790931456 |
|---|---|
| author | Verplanke, Willem E. A. Fodor, Zoltan Gerardin, Antoine Guenther, Jana N. Lellouch, Laurent Szabo, Kalman K. Toth, Balint C. Varnhorst, Lukas |
| author_facet | Verplanke, Willem E. A. Fodor, Zoltan Gerardin, Antoine Guenther, Jana N. Lellouch, Laurent Szabo, Kalman K. Toth, Balint C. Varnhorst, Lukas |
| contents | We present a lattice calculation of the $η$ and $η^{\prime}$ meson masses at the physical point and in the continuum limit, based on $N_f = 2+1+1$ flavors of rooted staggered quarks. Our analysis includes gauge ensembles at the physical pion and kaon masses spread over six lattice spacings in the range [0.064-0.1315]~fm. Our main results read $m_η = 543.5(5.6)~$MeV and $m_{η^{\prime}} = 986(38)~$MeV, consistent with the experimental values. This is an important numerical test that supports the validity of the fourth root procedure used in the staggered quark formalism. This calculation was the first step towards extracting the pseudoscalar transition form factors of the $η$ and $η^{\prime}$ mesons that play a crucial role in the hadronic light-by-light contribution to the muon $g-2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18846 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lattice QCD calculation of the $η$ and $η^{\prime}$ meson masses at the physical point using rooted staggered fermions Verplanke, Willem E. A. Fodor, Zoltan Gerardin, Antoine Guenther, Jana N. Lellouch, Laurent Szabo, Kalman K. Toth, Balint C. Varnhorst, Lukas High Energy Physics - Lattice High Energy Physics - Phenomenology We present a lattice calculation of the $η$ and $η^{\prime}$ meson masses at the physical point and in the continuum limit, based on $N_f = 2+1+1$ flavors of rooted staggered quarks. Our analysis includes gauge ensembles at the physical pion and kaon masses spread over six lattice spacings in the range [0.064-0.1315]~fm. Our main results read $m_η = 543.5(5.6)~$MeV and $m_{η^{\prime}} = 986(38)~$MeV, consistent with the experimental values. This is an important numerical test that supports the validity of the fourth root procedure used in the staggered quark formalism. This calculation was the first step towards extracting the pseudoscalar transition form factors of the $η$ and $η^{\prime}$ mesons that play a crucial role in the hadronic light-by-light contribution to the muon $g-2$. |
| title | Lattice QCD calculation of the $η$ and $η^{\prime}$ meson masses at the physical point using rooted staggered fermions |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.18846 |