Weak decay constants of the neutral pseudoscalar mesons from lattice QCD+QED
| Autor: | Kordov, Z. R., Horsley, R., Kamleh, W., Nakamura, Y., Perlt, H., Rakow, P. E. L., Schierholz, G., Stüben, H., Young, R. D., Zanotti, J. M. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | With increasing requirements for greater precision, it becomes essential to describe the effects of isospin breaking induced by both quark masses and electro-magnetic effects. In this work we perform a lattice analysis of the weak decay constants of the neutral pseudoscalar mesons including such isospin breaking effects, with particular consideration being given to the state mixing of the $\pi^0$, $\eta$ and $\eta^\prime$. We also detail extensions to the non-perturbative RI$^\prime$-MOM renormalization scheme for application to non-degenerate flavour-neutral operators which are permitted to mix, and present initial results. Using flavour-breaking expansions in terms of quark masses and charges we determine the leptonic decay constants for the $\pi^0$ and $\eta$ mesons, demonstrating in principle how precision determinations of all neutral pseudoscalar decay constants could be reached in lattice QCD with QED and strong isospin-breaking accounted for. Comment: 10 pages, 5 figures, analysis of charged mesons has been removed |
| Databáze: | arXiv |
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