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The leading electromagnetic (e.m.) and strong isospin-breaking corrections to the $\pi^+ \to \mu^+ \nu[\gamma]$ and $K^+ \to \mu^+ \nu[\gamma]$ leptonic decay rates are evaluated for the first time on the lattice. The results are obtained…

High Energy Physics - Lattice · Physics 2019-10-25 M. Di Carlo , D. Giusti , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

Semileptonic decays of doubly heavy baryons are studied in the framework of the relativistic quark model. The doubly heavy baryons are treated in the quark-diquark approximation. The transition amplitudes of heavy diquarks bb and bc going…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. Ebert , R. N. Faustov , V. O. Galkin , A. P. Martynenko

We present a lattice calculation of the $K\to\pi$ and $K\to 0$ matrix elements of the $\Delta S=1$ effective weak Hamiltonian which can be used to determine $\epsilon^\prime/\epsilon$ and the $\Delta I=1/2$ rule for $K$ decays in the…

High Energy Physics - Lattice · Physics 2009-10-31 T. Blum

In this paper I review the status of lattice QCD calculations of $D$ and $D_s$ meson decay constants and of $D$ meson semileptonic decay form factors. I restrict my discussion to results obtained from simulations with $n_f = 2+1$ sea…

High Energy Physics - Phenomenology · Physics 2010-11-19 A. X. El-Khadra

We discuss the semileptonic weak decays of $P\to P$ ($P$ denotes a pseudoscalar meson). In these timelike processes, the problem of the nonvalence contribution is solved systematically as well as the valence one. These contributions are…

High Energy Physics - Phenomenology · Physics 2009-11-07 Chien-Wen Hwang

Recent results from lattice QCD calculations relevant to particle physics phenomenology are reviewed. They include the calculations of strong coupling constant, quark masses, kaon matrix elements, and D and B meson matrix elements. Special…

High Energy Physics - Phenomenology · Physics 2009-11-10 Shoji Hashimoto

We review the physics of purely leptonic decays of $\pi^\pm$, $K^\pm$, $D^{\pm}$, $D_s^\pm$, and $B^\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of…

High Energy Physics - Experiment · Physics 2012-01-26 Jonathan L. Rosner , Sheldon Stone

Theory of strong decays defines in addition to decay widths, also the channel coupling and the mass shifts of the levels above the decay thresholds. In the standard decay models of the 3P0 type the decay vertex is taken to be a…

High Energy Physics - Phenomenology · Physics 2014-01-21 A. M. Badalian , V. D. Orlovsky , Yu. A. Simonov

We review the physics of purely leptonic decays of $\pi^\pm$, $K^\pm$, $D^{\pm}$, $D_s^\pm$, and $B^\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of…

High Energy Physics - Experiment · Physics 2013-09-13 Jonathan L. Rosner , Sheldon Stone

We propose a model-independent parametrization for the one-pion-to-vacuum matrix elements of the vector and axial vector hadronic currents in the presence of an external uniform magnetic field. It is shown that, in general, these hadronic…

High Energy Physics - Phenomenology · Physics 2019-08-29 M. Coppola , D. Gomez Dumm , S. Noguera , N. N. Scoccola

The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than $\mathrm{O}(1\%)$, require theoretical calculations to…

In Ref [1] we have presented the results of an exploratory lattice QCD computation of the long-distance contribution to the $K^+\to\pi^+\nu\bar{\nu}$ decay amplitude. In the present paper we describe the details of this calculation, which…

High Energy Physics - Lattice · Physics 2018-10-24 Ziyuan Bai , Norman H. Christ , Xu Feng , Andrew Lawson , Antonin Portelli , Christopher T. Sachrajda

We demonstrate how to make rigorous predictions for electroweak matrix elements in nuclear systems directly from QCD. More precisely, we show how to determine the short-distance contributions to low-momentum transfer electroweak matrix…

High Energy Physics - Lattice · Physics 2009-11-10 William Detmold , Martin J. Savage

The quasi-two-body $B \to D (R\to) K \pi$ decays are calculated in PQCD approach based on the $k_T$ factorization by introducing the wave functions of $K\pi$ pair associated with the resonances $K^*(892)$, $K_0^*(1430)$ and $K_2^*(1430)$.…

High Energy Physics - Phenomenology · Physics 2023-11-30 Wen-Sheng Fang , Zhi-Tian Zou , Ying Li

Hadronic matrix elements of proton decay are essential ingredients to bridge the grand unification theory to low energy observables like proton lifetime. In this paper we non-perturbatively calculate the matrix elements, relevant for the…

High Energy Physics - Lattice · Physics 2014-01-22 Y. Aoki , E. Shintani , A. Soni

We discuss the result of a recent quenched lattice calculation of the K -> pi vector form factor at zero-momentum transfer, relevant for the determination of |V_us| from K-> pi l nu decays. Using suitable double ratios of three-point…

High Energy Physics - Lattice · Physics 2009-11-10 D. Becirevic , D. Guadagnoli , G. Isidori , V. Lubicz , G. Martinelli , F. Mescia , M. Papinutto , S. Simula , C. Tarantino , G. Villadoro

We derive analytic expansions for the finite-volume energies of weakly-interacting two-particle systems, using the general relations between scattering amplitudes and energies derived by L\"uscher and others. The relations hold for ground…

High Energy Physics - Lattice · Physics 2022-10-19 Dorota M. Grabowska , Maxwell T. Hansen

We review the application of lattice QCD to the phenomenology of b- and c-quarks. After a short discussion of the lattice techniques used to evaluate hadronic matrix elements and the corresponding systematic uncertainties, we summarise…

High Energy Physics - Lattice · Physics 2016-11-03 J. M. Flynn , C. T. Sachrajda

The kaon electromagnetic (e.m.) form factor is reviewed considering a light-front constituent quark model. In this approach, it is discussed the relevance of the quark-antiquark pair terms for the full covariance of the e.m. current. It is…

High Energy Physics - Phenomenology · Physics 2009-11-13 Fabiano P. Pereira , J. P. B. C. de Melo , T. Frederico , Lauro Tomio

Pionless effective field theory in a finite volume (FVEFT$_{\pi\!/}$) is investigated as a framework for the analysis of multi-nucleon spectra and matrix elements calculated in lattice QCD (LQCD). By combining FVEFT$_{\pi\!/}$ with the…

Nuclear Theory · Physics 2021-04-21 W. Detmold , P. E. Shanahan