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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 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

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

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 the first lattice QCD determination of the $\gamma Z$ box contribution to parity-violating electron-proton scattering, $\square_{\gamma Z}$ , a key ingredient for the precise tests of the Standard Model via the proton weak…

High Energy Physics - Lattice · Physics 2026-01-13 Zhao-long Zhang , Xu Feng , Mikhail Gorchtein , Lu-Chang Jin , Chuan Liu , Chien-Yeah Seng

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

In our previous DWF calculation with the Wilson gauge action at $\beta=6.0$ ($a^{-1}\simeq$ 1.9 GeV) on a $16^3 \times 32 \times 16$ lattice, we found that $\Ga$ had a fairly strong dependence on the quark mass. A simple linear…

High Energy Physics - Lattice · Physics 2007-05-23 Shoichi Sasaki , Tom Blum , Shigemi Ohta , Kostas Orginos

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 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 present a comprehensive analysis of the $\gamma W$ interference radiative correction to the neutron $\beta$-decay matrix element. Within a dispersion relations approach, we compute the axial-vector part of the $\gamma W$ box amplitude…

High Energy Physics - Phenomenology · Physics 2021-08-25 K. Shiells , P. G. Blunden , W. Melnitchouk

We perform a lattice QCD calculation of the $\eta_c\to2\gamma$ decay width using a model-independent method that requires no momentum extrapolation of the off-shell form factors. This method also provides a straightforward and simple way to…

High Energy Physics - Lattice · Physics 2023-09-06 Yu Meng , Xu Feng , Chuan Liu , Teng Wang , Zuoheng Zou

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…

Double beta decays are rare nuclear processes that can occur in two modes: two-neutrino double beta decay, observed in the Standard Model, and neutrinoless double beta decay, a hypothetical process with profound implications for Particle…

High Energy Physics - Lattice · Physics 2023-12-04 Saurabh V. Kadam

We describe a first-principles method to apply lattice QCD to compute the order $\alpha_{\mathrm{EM}}$ corrections to $K\to\pi\ell\nu_\ell$ decay. This method formulates the calculation in infinite volume with the conventional…

High Energy Physics - Lattice · Physics 2024-02-15 Norman H. Christ , Xu Feng , Luchang Jin , Christopher T. Sachrajda , Tianle Wang

We present a quenched lattice calculation of the nucleon isovector vector and axial-vector charges gV and gA. The chiral symmetry of domain wall fermions makes the calculation of the nucleon axial charge particularly easy since the…

High Energy Physics - Lattice · Physics 2019-08-15 Shoichi Sasaki , Kostas Orginos , Shigemi Ohta , Tom Blum

The domain wall fermion (DWF) method, with its almost perfectly preserved chiral symmetry on the lattice, makes the calculation of the nucleon axial charge particularly easy. By maintaining chiral symmetry and using the Ward-Takahashi (WT)…

High Energy Physics - Lattice · Physics 2009-11-07 Shigemi Ohta

The current status of some nucleon isovector observables, the vector charge, \(g_V\), axial charge, \(g_A\), quark momentum fraction, \(\langle x \rangle_{u-d}\), and quark helicity fraction, \(\langle x \rangle_{\Delta u - \Delta d}\),…

High Energy Physics - Lattice · Physics 2019-08-14 Shigemi Ohta

The potential importance of short-distance nuclear effects in double-$\beta$ decay is assessed using a lattice QCD calculation of the $nn\rightarrow pp$ transition and effective field theory methods. At the unphysical quark masses used in…

We present an update of our lattice QCD determination of the hadronic contribution to the running of the electromagnetic coupling, $\Delta\alpha_{\mathrm{had}}^{(5)}(-Q^2)$, and of the electroweak mixing angle in the space-like momentum…

We present a quenched lattice QCD calculation of the \alpha and \beta parameters of the proton decay matrix element. The simulation is carried out using the Wilson quark action at three values of the lattice spacing in the range a\approx…

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