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We summarize the present status of lattice gauge theory computations of the leptonic decay constants $f_D$ and $f_B$. The various sources of systematic errors are explained in a manner easily understood by the non--expert. The results…

High Energy Physics - Lattice · Physics 2009-10-22 Rainer Sommer

We have investigated the role of proton-neutron pairing in the context of the Quasiparticle Random Phase approximation formalism. This way the neutrinoless double beta decay matrix elements of the experimentally interesting A= 48, 76, 82,…

Nuclear Theory · Physics 2008-11-26 G. Pantis , F. Simkovic , J. D. Vergados , Amand Faessler

The form factors of the semileptonic $B$, $B_s$ and $B_c$ meson decays are calculated in the framework of the relativistic quark model based on the quasipotential approach in QCD. They are expressed through the overlap integrals of the…

High Energy Physics - Phenomenology · Physics 2022-07-27 R. N. Faustov , V. O. Galkin , Xian-Wei Kang

In this contribution we describe a recent study focused on the lattice calculation of inclusive decay rates of heavy mesons. We show how the inclusive calculation can be achieved starting from four-point lattice correlation functions…

Baryon distribution amplitudes (DAs) are crucial for the theory of hard exclusive reactions. We present a calculation of the first few moments of the leading-twist nucleon DA within lattice QCD. In addition we deal with the normalization of…

We determine $D$ and $D_s$ decay constants from lattice QCD with 2% errors, 4 times better than experiment and previous theory: $f_{D_s}$ = 241(3) MeV, $f_D$ = 207(4) MeV and $f_{D_s}/f_D$ = 1.164(11). We also obtain $f_K/f_{\pi}$ =…

High Energy Physics - Lattice · Physics 2008-11-26 E. Follana , C. T. H. Davies , G. P. Lepage , J. Shigemitsu

Moments of the quark density, helicity, and transversity distributions are calculated in unquenched lattice QCD. Calculations of proton matrix elements of operators corresponding to these moments through the operator product expansion have…

An analytical solution based on the Laplace transformation technique for the DGLAP evolution equations is presented at next-to-leading order accuracy in perturbative QCD. This technique is also applied to extract the analytical solution for…

High Energy Physics - Phenomenology · Physics 2017-03-09 Hamzeh Khanpour , Abolfazl Mirjalili , S. Atashbar Tehrani

We present a non-perturbative lattice calculation of the form factors which contribute to the amplitudes for the radiative decays $P\to \ell \bar \nu_\ell \gamma$, where $P$ is a pseudoscalar meson and $\ell$ is a charged lepton. Together…

High Energy Physics - Lattice · Physics 2021-01-13 A. Desiderio , R. Frezzotti , M. Garofalo , D. Giusti , M. Hansen , V. Lubicz , G. Martinelli , C. T. Sachrajda , F. Sanfilippo , S. Simula , N. Tantalo

We report a lattice QCD calculation of the parton distribution function (PDF) of a deuteron-like dibaryon system using large-momentum effective theory. The calculation is done on three Wilson Clover ensembles with a fixed lattice spacing…

High Energy Physics - Lattice · Physics 2025-05-20 Chen Chen , Liuming Liu , Peng Sun , Yi-Bo Yang , Yiqi Geng , Fei Yao , Jian-Hui Zhang , Kuan Zhang

A lattice quantum chromodynamics (LQCD) calculation of the nuclear matrix element relevant to the $nn\to ppee\overline{\nu}_e\overline{\nu}_e$ transition is described in detail, expanding on the results presented in Ref. [1]. This matrix…

We have computed the decay constants for the $B$ and $D$ mesons, using quenched lattices at $\beta=6.3$, by interpolating between the static approximation of Eichten and the conventional (``heavy'' Wilson fermion) method. A more careful…

High Energy Physics - Lattice · Physics 2009-10-22 Claude Bernard , James Labrenz , Amarjit Soni

We calculate electric and magnetic form factors of protons and neutrons in quenched Monte Carlo lattice QCD on a $16^3\times 24$ lattice at $\beta = 6.0$ using Wilson fermions. We employ a method which characterizes one of the nucleon…

High Energy Physics - Lattice · Physics 2008-11-26 Walter Wilcox , Terrence Draper , Keh-Fei Liu

We present a quenched calculation of the form factors of the semileptonic weak decay $B \to \pi l \bar{\nu}$ with $O(1/m_Q)$ NRQCD heavy quark and Wilson light quark on a $16^3 \times 32$ lattice at $\beta=5.8$. The form factors are…

High Energy Physics - Lattice · Physics 2009-10-30 H. Matsufuru , S. Hashimoto , K-I. Ishikawa , T. Onogi , N. Yamada

We present a calculation of the B and D meson decay constants in lattice QCD with two (Nf=2) flavours of light dynamical quarks, using an O(a)-improved Wilson action for both light and heavy quarks and a renormalization-group improved gauge…

We provide a 0.8\%-accurate determination of $V_{cs}$ from combining experimental results for the differential rate of $D \rightarrow K$ semileptonic decays with precise form factors that we determine from lattice QCD. This is the first…

High Energy Physics - Lattice · Physics 2021-09-01 Bipasha Chakraborty , W. G. Parrott , C. Bouchard , C. T. H. Davies , J. Koponen , G. P. Lepage

We present results for the electromagnetic form factors of the proton and neutron computed on the Coordinated Lattice Simulations (CLS) ensembles with $N_f = 2 + 1$ flavors of $\mathcal{O}(a)$-improved Wilson fermions and an…

High Energy Physics - Lattice · Physics 2023-01-10 Miguel Salg , Dalibor Djukanovic , Georg von Hippel , Harvey B. Meyer , Konstantin Ottnad , Hartmut Wittig

A recently proposed approach to compute the inclusive semi-leptonic decay rate on the lattice allows for the calculation of various quantities (differential distributions and moments) in different subchannels. We systematically compare the…

High Energy Physics - Phenomenology · Physics 2021-11-05 Paolo Gambino , Shoji Hashimoto , Sandro Mächler

We present results for matrix elements of $\Delta S=2$ four-fermion operators arising generically in models of new physics. These are needed to constrain such models using the measured values of $\varepsilon_K$ and $\Delta M_K$. We use…

We report on the nucleon decay matrix elements with domain-wall fermions in quenched approximation. Results from direct and indirect method are compared with a focus on the process of a proton decaying to a pion and a lepton. We discuss the…

High Energy Physics - Lattice · Physics 2015-06-25 Yasumichi Aoki , RBC collaboration