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CKM matrix is unitary by construction in the standard model(SM). The recent analyses on the first row of CKM matrix show $ \approx 3\sigma$ tension with unitarity. Nonperturbative calculations of the radiative corrections can reduce the…

High Energy Physics - Lattice · Physics 2022-12-27 Jun-Sik Yoo , Tanmoy Bhattacharya , Rajan Gupta , Santanu Mondal , Boram Yoon

Recently, the first ever lattice computation of the $\gamma W$-box radiative correction to the rate of the semileptonic pion decay allowed for a reduction of the theory uncertainty of that rate by a factor of $\sim3$. A recent dispersion…

High Energy Physics - Phenomenology · Physics 2020-07-01 Chien-Yeah Seng , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin

We present the first realistic lattice QCD calculation of the $\gamma W$-box diagrams relevant for beta decays. The nonperturbative low-momentum integral of the $\gamma W$ loop is calculated using a lattice QCD simulation, complemented by…

High Energy Physics - Lattice · Physics 2020-05-20 Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Peng-Xiang Ma , Chien-Yeah Seng

The value of the V_{ud} matrix element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be derived from nuclear superallowed beta decays, neutron decay, and pion beta decay. We survey current world data for all three. Today, the most…

Nuclear Theory · Physics 2008-11-07 I. S. Towner , J. C. Hardy

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

The value of the $V_{ud}$ matrix element of the Cabibbo-Kobayashi-Maskawa (CKM) matrix can be derived from nuclear superallowed beta decays, neutron decay, and pion beta decay. We survey current world data for all three. Today, the most…

Nuclear Theory · Physics 2007-05-23 I. S. Towner , J. C. Hardy

We present the first lattice QCD calculation of the universal axial $\gamma W$-box contribution $\square_{\gamma W}^{VA}$ to both superallowed nuclear and neutron beta decays. This contribution emerges as a significant component within the…

High Energy Physics - Lattice · Physics 2024-04-19 Peng-Xiang Ma , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Keh-Fei Liu , Chien-Yeah Seng , Bi-Geng Wang , Zhao-Long Zhang

High-precision determinations of Cabibbo-Kobayashi-Maskawa (CKM) matrix elements are essential probes of physics Beyond the Standard Model (BSM). Current precision tests show a deficit in the first row unitarity relation. At the current…

High Energy Physics - Lattice · Physics 2026-04-07 Ramón Merino

We describe two recent developments of the radiative correction theory in semileptonic beta decays. For neutron, a novel dispersive analysis of the $\gamma W$-box diagram making use of neutrino scattering data leads to an improved precision…

High Energy Physics - Phenomenology · Physics 2022-04-15 Chien-Yeah Seng

Although well studied, the neutron still offers a unique laboratory for precise tests of Standard Model (SM) predictions. Neutron decay is free of nuclear structure corrections present in nuclear beta decays, and, with a $10^8$ times larger…

Nuclear Experiment · Physics 2017-04-04 Dinko Pocanic

Combining the ratio of experimental kaon and pion decay widths, Gamma(K to mu antineutrino{mu} (gamma)) / Gamma(pi to mu \antineutrino (gamma)), with a recent lattice gauge theory calculation of f{K}/f{pi} provides a precise value for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 William J. Marciano

We discuss the recent progress in the study of semileptonic kaon and pion decays, including new experimental results, improved electroweak radiative corrections, form factor calculations and isospin-breaking effects. As a result, we obtain…

High Energy Physics - Phenomenology · Physics 2022-01-11 Chien-Yeah Seng , Daniel Galviz , William J. Marciano , Ulf-G. Meißner

Neutrinoless double-beta ($0\nu\beta\beta$) decay is a heretofore unobserved process which, if observed, would imply that neutrinos are Majorana particles. Interpretations of the stringent experimental constraints on $0\nu\beta\beta$-decay…

The two most precise determinations of the CKM matrix element V_us are based on the analyses of leptonic and semileptonic kaon decays. These studies also rely on the lattice QCD calculations of two hadronic parameters, namely the ratio of…

High Energy Physics - Lattice · Physics 2013-09-11 Vittorio Lubicz

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 2017-04-04 Norman H. Christ , Xu Feng , Andreas Juttner , Andrew Lawson , Antonin Portelli , Christopher T. Sachrajda

Pion beta decay, $\pi^+\to \pi^0 e^+\nu(\gamma)$, provides a theoretically clean $\pm 0.3\%$ determination of the CKM matrix element $V_{\text{ud}}$. That value falls short of super-allowed nuclear beta decays where an order of magnitude…

High Energy Physics - Phenomenology · Physics 2020-05-29 Andrzej Czarnecki , William J. Marciano , Alberto Sirlin

We report on a new measurement of neutron $\beta$-decay asymmetry. From the result \linebreak $A_0$ = -0.1189(7), we derive the ratio of the axial vector to the vector coupling constant $\lambda$ = ${\it g_A/g_V}$ = -1.2739(19). When…

High Energy Physics - Experiment · Physics 2008-11-26 H. Abele , M. Astruc Hoffmann , S. Baessler , D. Dubbers , F. Glück , U. Müller , V. Nesvizhevsky , J. Reich , O. Zimmer

The first lattice QCD calculation of the form factors governing $\Lambda_c \to \Lambda \ell^+ \nu_\ell$ decays is reported. The calculation was performed with two different lattice spacings and includes one ensemble with a pion mass of…

High Energy Physics - Lattice · Physics 2017-02-24 Stefan Meinel

The Cabibbo-Cobayashi-Maskawa (CKM) matrix parametrizes the misalignement between the up- and down-quark mass basis in the Standard Model (SM). The observation of first row CKM unitarity violation has recently emerged as a new anomaly of…

High Energy Physics - Phenomenology · Physics 2021-11-09 Claudio Andrea Manzari

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…

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