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We review recent progress from lattice QCD for the determination of the Cabibbo-Kobayashi-Maskawa matrix elements.

High Energy Physics - Lattice · Physics 2024-04-26 Takashi Kaneko

A review is given of attempts to bridge the gap between everyday particle and nuclear physics - involving many quarks - and the basic underlying theory of QCD that can only be evaluated exactly for few quark systems. Even the latter…

Nuclear Theory · Physics 2018-09-26 A. M. Green

We will describe several pioneering efforts in the study of electromagnetic radiative corrections to semileptonic decay processes, with particular emphasis on the role of lattice QCD. These studies are essential for the precise extraction…

High Energy Physics - Lattice · Physics 2021-04-07 Chien-Yeah Seng

We give a brief overview and progress report on our lattice QCD calculation of neutral B mixing hadronic matrix elements needed for Standard Model and Beyond the Standard Model physics. Reference [1] contains more details and results.

High Energy Physics - Lattice · Physics 2019-08-14 C. Bernard , C. M. Bouchard , A. X. El-Khadra , E. D. Freeland , E. Gámiz , A. S. Kronfeld , J. Laiho , R. S. Van de Water

We determine the nucleon axial, scalar and tensor charges and the nucleon $\sigma$-terms using twisted mass fermions. We employ three ensembles with approximately equal physical volume of about 5.5~fm, three values of the lattice spacing,…

High Energy Physics - Lattice · Physics 2024-12-03 C. Alexandrou , S. Bacchio , J. Finkenrath , C. Iona , G. Koutsou , Y. Li , G. Spanoudes

We present an improved result of lattice computation of the proton decay matrix elements in $N_f=2+1$ QCD. In this study, the significant improvement of statistical accuracy by adopting the error reduction technique of All-mode-averaging,…

High Energy Physics - Lattice · Physics 2017-07-19 Yasumichi Aoki , Taku Izubuchi , Eigo Shintani , Amarjit Soni

I give a brief introduction to the scope of lattice QCD calculations in our effort to extract the fundamental parameters of the standard model. This goal is illustrated by two examples. First I discuss the extraction of CKM matrix elements…

High Energy Physics - Lattice · Physics 2007-05-23 Rajan Gupta

The magnetic moment and magnetic polarisability of the neutron and proton are investigated using the uniform background-field method and lattice QCD. The results are calculated using 32^3 x 64 dynamical QCD lattices provided by the PACS-CS…

High Energy Physics - Lattice · Physics 2017-04-28 Ryan Bignell , Derek Leinweber , Waseem Kamleh , Matthias Burkardt

I discuss the latest progress in calculating baryon-baryon interactions with lattice QCD. The latest results from the NPLQCD collaboration for nucleon-nucleon scattering along with preliminary calculations of hyperon-nucleon scattering are…

Nuclear Theory · Physics 2007-05-23 Martin J. Savage

Proton-proton fusion is the fundamental weak reaction initiating stellar energy production, and a first-principles determination of its matrix element remains a long-standing goal of nuclear theory. We present a lattice QCD calculation of…

High Energy Physics - Lattice · Physics 2026-03-17 Zi-Yu Wang , Xu Feng , Bo-Hao Jian , Lu-Chang Jin , Chuan Liu

Electroweak, QCD, and QED radiative corrections to the nucleon low-energy coupling constants $g_V$ and $g_A$ are enhanced by large perturbative logarithms between the electroweak and hadronic scale, as well as between the hadronic scale and…

High Energy Physics - Phenomenology · Physics 2026-04-10 Oleksandr Tomalak , Yi-Bo Yang

The formalism describing (anti)neutrino-nucleus reaction cross-sections in neutral- and charged-current processes is improved. Compact formulae for the single-particle transition matrix elements, based on the multipole expansion treatment…

Nuclear Theory · Physics 2007-05-23 V. Ch. Chasioti , T. S. Kosmas

Accurate measurements of K, D and B meson mixing amplitudes provide stringent constraints in the Unitary Triangle analysis, as well as useful bounds on New Physics scales. Lattice QCD provides a non perturbative tool to compute the hadronic…

High Energy Physics - Lattice · Physics 2014-11-11 Nuria Carrasco

I present an overview of recent lattice QCD results on hadron spectroscopy and matrix elements. Case studies include light quark spectroscopy, the determination of $\alpha_s$ from heavy quark spectroscopy, the D-meson decay constant, a…

High Energy Physics - Lattice · Physics 2007-05-23 T. DeGrand

I review lattice calculations of quantities that involve light quarks, including light quark masses, the vector form factor f_+(0) needed for semileptonic kaon decays, and kaon mixing. Results for most of these quantities are now available…

High Energy Physics - Lattice · Physics 2011-06-03 Jack Laiho

We calculate the nucleon axial form factor up to the leading one-loop order in a covariant chiral effective field theory with the $\Delta(1232)$ resonance as an explicit degree of freedom. We fit the axial form factor to the latest lattice…

High Energy Physics - Phenomenology · Physics 2018-02-08 De-Liang Yao , Luis Alvarez-Ruso , Manuel J. Vicente-Vacas

We calculate the NRQCD matrix elements for the decays of the lowest-lying S- and P-wave states of charmonium and bottomonium in quenched lattice QCD. We also compute the one-loop relations between the lattice and continuum matrix elements.

High Energy Physics - Phenomenology · Physics 2008-11-26 G. T. Bodwin , D. K. Sinclair , S. Kim

This work presents the first calculation of the lowest moment of the forward Compton structure function $\mathcal{F}_2$ for a multi-nucleon deuteron-like state using Feynman-Hellmann lattice QCD techniques. Using this result as a…

High Energy Physics - Lattice · Physics 2025-05-07 N. Humphrey , K. U. Can , R. Horsley , P. E. L. Rakow , G. Schierholz , H. Stüben , R. D. Young , J. M. Zanotti

Complete flavour decompositions of the scalar, axial and tensor charges of the proton, deuteron, diproton and $^3$He at SU(3)-symmetric values of the quark masses corresponding to a pion mass $m_\pi\sim806$ MeV are determined using lattice…

We identify the matrix elements necessary to determine the leading-twist gluon generalized parton distributions (GPDs) $H_g,~E_g,~\wt{H}_g,~\wt{E}_g,~H^T_g,~E^T_g, \wt{H}^T_g ,~\wt{E}^T_g$ in lattice QCD calculations. We present a method to…

High Energy Physics - Lattice · Physics 2025-05-16 Jakob Schoenleber , Raza Sabbir Sufian , Taku Izubuchi , Yi-Bo Yang
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