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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

We analyze the universal radiative correction $\Delta_R^V$ to neutron and superallowed nuclear $\beta$ decay by expressing the hadronic $\gamma W$-box contribution in terms of a dispersion relation, which we identify as an integral over the…

High Energy Physics - Phenomenology · Physics 2018-12-19 Chien-Yeah Seng , Mikhail Gorchtein , Hiren H. Patel , Michael J. Ramsey-Musolf

We analyze the axial $\gamma W$-box diagram for $I(J^P)=1(0^+)$ nuclei and provide a dispersion representation of the nuclear-structure correction $\delta_\text{NS}$ including its energy-dependent part. We also summarize useful isospin…

Nuclear Theory · Physics 2023-03-28 Chien-Yeah Seng , Mikhail Gorchtein

We present the first and complete dispersion relation analysis of the inner radiative corrections to the axial coupling constant $g_A$ in the neutron $\beta$-decay. Using experimental inputs from the elastic form factors and the…

High Energy Physics - Phenomenology · Physics 2021-10-14 Mikhail Gorchtein , Chien-Yeah Seng

I consider the $\gamma W$-box correction to superallowed nuclear $\beta$-decays in the framework of dispersion relations. I address a novel effect of a distortion of the emitted electron energy spectrum by nuclear polarizabilities and show…

Nuclear Theory · Physics 2019-07-31 Mikhail Gorchtein

A new method for computing hadronic effects on electroweak radiative corrections to low-energy weak interaction semileptonic processes is described. It employs high order perturbative QCD results originally derived for the Bjorken sum rule…

High Energy Physics - Phenomenology · Physics 2009-11-11 William J. Marciano , Alberto Sirlin

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 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

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

One of the sensitive probes of physics beyond the standard model is the test of the unitarity of the Cabbibo-Kobyashi-Maskawa (CKM) matrix. Current analysis of the first row is based on $|V_{ud}|$ from fourteen superallowed $0^+ \to 0^+$…

High Energy Physics - Lattice · Physics 2023-05-08 Jun-Sik Yoo , Tanmoy Bhattacharya , Rajan Gupta , Santanu Mondal , Boram Yoon

We present a new formulation of one of the major radiative corrections to the weak charge of the proton -- that arising from the axial-vector hadron part of the $\gamma Z$ box diagram, $\Re{\rm e}\, \Box_{\gamma Z}^{\rm A}$. This…

High Energy Physics - Phenomenology · Physics 2011-11-23 P. G. Blunden , W. Melnitchouk , A. W. Thomas

Starting with the basic Lagrangian of the Standard Model, the radiative corrections to the neutron beta-decay are acquired. The electroweak interactions are consistently taken into consideration amenably to the Weinberg-Salam theory. The…

High Energy Physics - Phenomenology · Physics 2016-09-06 G. G. Bunatian

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

Prompted by the level of accuracy now being achieved in tests of the unitarity of the CKM matrix, we consider the possible modification of the Fermi matrix element for the $\beta$-decay of a neutron, including possible in-medium and isospin…

Nuclear Theory · Physics 2011-02-16 P. A. M. Guichon , A. W. Thomas , K. Saito

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

We propose a novel dispersive treatment of the so-called inner radiative correction to the neutron and nuclear $\beta$-decay. We show that it requires knowledge of the parity-violating structure function $F_3^{(0)}$ that arises from the…

Nuclear Theory · Physics 2019-07-18 Chien Yeah Seng , Mikhail Gorchtein , Michael J. Ramsey-Musolf

We present a comprehensive analysis of gamma-Z interference corrections to the weak charge of the proton measured in parity-violating electron scattering, including a survey of existing models and a critical analysis of their uncertainties.…

Nuclear Theory · Physics 2013-08-09 N. L. Hall , P. G. Blunden , W. Melnitchouk , A. W. Thomas , R. D. Young

We have calculated the one-loop electroweak corrections to the decay t-> bW+, including the counterterm for the CKM matrix elements V(tb). Previous calculations used an incorrect delta V(tb) that led to a gauge dependent amplitude. However,…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. M. Oliveira , L. Bruecher , R. Santos , A. Barroso

The angle $\gamma$ of the standard CKM unitarity triangle can be determined from tree-level $B$-meson decays essentially without hadronic uncertainties. We calculate the second-order electroweak corrections for the $B \to D \pi$ modes and…

High Energy Physics - Phenomenology · Physics 2015-02-25 Joachim Brod

Present precision measurements of the neutron life time lead to a CKM matrix element $|V_{ud}|$ which is three standard deviations off the value inferred from heavy quark decays etc. We investigate the possibility whether isospin-breaking…

Nuclear Theory · Physics 2009-11-07 N. Kaiser
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