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Weak decay constants of the neutral pseudoscalar mesons from lattice QCD+QED

Authors :
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.
Publication Year :
2023

Abstract

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.<br />Comment: 10 pages, 5 figures, analysis of charged mesons has been removed

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2304.06095
Document Type :
Working Paper