Pseudoscalar-pole contributions to the muon $g-2$ at the physical point

Autor: Burri, S. A., Kanwar, G., Alexandrou, C., Bacchio, S., Bergner, G., Finkenrath, J., Gasbarro, A., Hadjiyiannakou, K., Jansen, K., Kostrzewa, B., Koutsou, G., Ottnad, K., Petschlies, M., Pittler, F., Steffens, F., Urbach, C., Wenger, U.
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Burri, S. A.; Kanwar, G.; Alexandrou, C.; Bacchio, S.; Bergner, G.; Finkenrath, J.; Gasbarro, A.; Hadjiyiannakou, K.; Jansen, K.; Kostrzewa, B.; Koutsou, G.; Ottnad, K.; Petschlies, M.; Pittler, F.; Steffens, F.; Urbach, C.; Wenger, U. (2022). Pseudoscalar-pole contributions to the muon $g-2$ at the physical point. In: The 39th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab 10.22323/1.430.0306
Popis: Pseudoscalar-pole diagrams are an important component of estimates of the hadronic light-by-light (HLbL) contribution to the muon $g-2$. We report on our computation of the transition form factors $\mathcal{F}_{P \rightarrow \gamma^* \gamma^*}$ for the neutral pseudoscalar mesons $P=\pi^0$ and $\eta$. The calculation is performed using twisted-mass lattice QCD with physical quark masses. On the lattice, we have access to a broad range of (space-like) photon four-momenta and therefore produce form factor data complementary to the experimentally accessible single-virtual direction, which directly leads to an estimate of the pion- and $\eta$-pole components of the muon $g-2$. For the pion, our result for the $g-2$ contribution in the continuum is comparable with previous lattice and data-driven determinations, with combined relative uncertainties below $10\%$. For the $\eta$ meson, we report on a preliminary determination from a single lattice spacing.
Databáze: OpenAIRE