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After decades of intensive efforts, lattice methods finally revealed one clear source of the large enhancement of the ratio $Re A_0/Re A_2$ \cite{RBC_UKQCD_PRL13}, which has been a puzzle in particle physics for about sixty years. Lattice…

High Energy Physics - Phenomenology · Physics 2013-11-27 Amarjit Soni

The rare decays of a kaon into a pion and a charged lepton/antilepton pair proceed via a flavour changing neutral current and therefore may only be induced beyond tree level in the Standard Model. This natural suppression makes these decays…

High Energy Physics - Lattice · Physics 2016-02-04 Norman Christ , Xu Feng , Andreas Juttner , Andrew Lawson , Antonin Portelli , Christopher Sachrajda

We reconsider the QCD predictions for the radiative decay $B\to \gamma \ell \nu_\ell$ with an energetic photon in the final state by taking into account the $1/E_\gamma, 1/m_b$ power-suppressed hard-collinear and soft corrections from…

High Energy Physics - Phenomenology · Physics 2018-08-15 M. Beneke , V. M. Braun , Yao Ji , Yan-Bing Wei

We have computed the form factors for B --> pi and D --> K(pi) semileptonic decays on the lattice by using full non-perturbative O(a) improvement, in the quenched approximation. Our results are expressed in terms of few parameters which…

High Energy Physics - Lattice · Physics 2019-08-17 A. Abada , D. Becirevic , Ph. Boucaud , J. P. Leroy , V. Lubicz , F. Mescia

We present the first determination of the hadronic decays of the lightest exotic $J^{PC}=1^{-+}$ resonance in lattice QCD. Working with SU(3) flavor symmetry, where the up, down and strange quark masses approximately match the physical…

High Energy Physics - Lattice · Physics 2021-03-23 Antoni J. Woss , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas , David J. Wilson

In order to directly compute physical two-pion K-decay amplitudes using lattice methods we must prepare a two-pion state with non-zero relative momentum. Building upon a proposal of Lellouch and L\"uscher, we describe a finite-volume method…

High Energy Physics - Lattice · Physics 2009-11-07 Changhoan Kim , Norman H. Christ

Form factors of rare (B -> K_0*(1430) l^+ l^-$ decay) decay are calculated within three-point QCD sum rules, with (K_0* (1430)) being the p-wave scalar meson. The branching ratios are estimated when only short, as well as short and long…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. M. Aliev , K. Azizi , M. Savci

In the traditional non-relativistic bound state calculation, the two-photon decay amplitudes of the $P$-wave $\chi_{c0,2}$ and $\chi_{b0,2}$ states depend on the derivative of the wave function at the origin which can only be obtained from…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. P. Lansberg , T. N. Pham

We present our result for the $K\to\pi\pi$ decay amplitudes for both the $\Delta I=1/2$ and $3/2$ processes with the improved Wilson fermion action. In order to realize the physical kinematics, where the pions in the final state have finite…

High Energy Physics - Lattice · Physics 2018-12-26 N. Ishizuka , K. -I. Ishikawa , A. Ukawa , T. Yoshié

A lattice QCD determination of the $\Lambda_c \to N$ vector, axial vector, and tensor form factors is reported. The calculation was performed with $2+1$ flavors of domain wall fermions at lattice spacings of $a\approx 0.11\:{\rm…

High Energy Physics - Lattice · Physics 2021-08-12 Stefan Meinel

We present a lattice QCD calculation of the axial $\gamma W$-box diagrams relevant for the kaon semileptonic decays. We utilize a recently proposed method, which connects the electroweak radiative corrections in Sirlin's representation to…

High Energy Physics - Lattice · Physics 2021-06-16 Peng-Xiang Ma , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Chien-Yeah Seng

We present the results of our lattice QCD study of the hadronic matrix elements relevant to the physical radiative $J/\psi\to \eta_c\gamma$ and $h_c\to \eta_c\gamma$ decays. We used the twisted mass QCD action with $N_{\rm f}=2$ light…

High Energy Physics - Lattice · Physics 2015-06-05 Damir Becirevic , Francesco Sanfilippo

Lattice results, kinematical constraints and QCD dispersion relations are combined for the first time to derive model-independent bounds for QCD form factors and corresponding rates. To take into account the error bars on the lattice…

High Energy Physics - Phenomenology · Physics 2011-05-05 Laurent Lellouch

We employ a variational basis with a number of $\bar{q}q$ and $\pi\pi$ lattice interpolating fields with quantum numbers of the $\rho$ resonance to extract the discrete energy spectrum in a finite volume. In the elastic region, this…

High Energy Physics - Lattice · Physics 2014-04-21 C. B. Lang , Daniel Mohler , Sasa Prelovsek , Matija Vidmar

The rare decays $B^0 \to K^{*0} \mu^+ \mu^-$ and $B_s \to \phi \mu^+ \mu^-$ are now being observed with enough precision to test Standard Model predictions. A full understanding of these decays requires accurate determinations of the…

High Energy Physics - Lattice · Physics 2014-05-08 Ronald R. Horgan , Zhaofeng Liu , Stefan Meinel , Matthew Wingate

The branching ratio of the rare decay pi0 -> e+ e- has been measured precisely, using the complete data set from the KTeV E799-II experiment at Fermilab. We observe 794 candidate pi0 -> e+ e- events using K0_L -> 3pi0 as a source of tagged…

High Energy Physics - Experiment · Physics 2008-11-26 E. Abouzaid

A lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes in the $\Lambda(1405)$ region is detailed. Results are obtained using a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$…

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

We study the exclusive decays of $B\to K^{(*)}l^+l^-$ within the framework of the PQCD. We obtain the form factors for the $B\to K^{(*)}$ transitions in all allowed values of $q^2$, which agree with the lattice results. We find that our…

High Energy Physics - Phenomenology · Physics 2009-11-07 Chuan-Hung Chen , Chao-Qiang Geng

Motivated by the LHCb measurement, we analyze the $B_s\to \pi^+\pi^-\ell^+\ell^-$ decay in the kinematics region where the pion pairs have invariant mass in the range $0.5$-$1.3$ GeV and muon pairs do not originate from a resonance. The…

High Energy Physics - Phenomenology · Physics 2015-06-23 Wei Wang , Rui-Lin Zhu