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

التفاصيل البيبلوغرافية
العنوان: Weak decay constants of the neutral pseudoscalar mesons from lattice QCD+QED
المؤلفون: 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.
سنة النشر: 2023
المجموعة: High Energy Physics - Lattice
High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Lattice, High Energy Physics - Phenomenology
الوصف: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2304.06095
رقم الأكسشن: edsarx.2304.06095
قاعدة البيانات: arXiv