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Besides being important to determine Standard Model parameters such as the CKM matrix elements $|V_{cb}|$ and $|V_{ub}|$, semileptonic $B$ decays seem also promising to reveal new physics (NP) phenomena, in particular in connection with the…

High Energy Physics - Phenomenology · Physics 2018-06-19 Pietro Colangelo , Fulvia De Fazio

We consider the Riemann manifold Hamiltonian Monte Carlo (RMHMC) method for solving statistical inverse problems governed by partial differential equations (PDEs). The power of the RMHMC method is that it exploits the geometric structure…

Statistics Theory · Mathematics 2015-06-22 Tan Bui-Thanh , Mark Girolami

We perform a study of the $B^{(*)}$, $D^{(*)}$ semileptonic decays, using a different method than in conventional approaches, where the matrix elements of the weak operators are evaluated and a detailed spin-angular momentum algebra is…

High Energy Physics - Phenomenology · Physics 2018-08-15 L. R. Dai , X. Zhang , E. Oset

Hamiltonian Monte Carlo (HMC) and its dynamic extensions, such as the No-U-Turn Sampler (NUTS), are powerful Markov chain Monte Carlo methods for sampling from complex, high-dimensional probability distributions. Riemannian manifold…

Computation · Statistics 2026-04-16 Miika Kailas , Matti Vihola , Jonas Wallin

Hamiltonian Monte Carlo (HMC) is a Markov chain Monte Carlo method that allows to sample high dimensional probability measures. It relies on the integration of the Hamiltonian dynamics to propose a move which is then accepted or rejected…

Numerical Analysis · Mathematics 2023-08-08 Tony Lelièvre , Régis Santet , Gabriel Stoltz

Traditional Markov Chain Monte Carlo methods suffer from low acceptance rate, slow mixing and low efficiency in high dimensions. Hamiltonian Monte Carlo resolves this issue by avoiding the random walk. Hamiltonian Monte Carlo (HMC) is a…

Astrophysics · Physics 2008-11-26 Amir Hajian

To develop practically useful systems for ultra-high-density information recording with densities above terabits/cm$^2$, it is necessary to simultaneously achieve high thermal stability at room temperature and high recording rates. One…

Materials Science · Physics 2011-09-23 W. R. Deskins , G. Brown , S. H. Thompson , P. A. Rikvold

We examine in detail the semi-leptonic decay $\Lambda_b \to \Lambda_c \tau{\bar \nu}_{\tau}$, which may confirm previous hints, from the analogous $B$ decay, of a new physics beyond the standard model. First of all, starting from rather…

High Energy Physics - Phenomenology · Physics 2018-10-16 E. Di Salvo , F. Fontanelli , Z. J. Ajaltouni

In this article, we have predicted the standard model (SM) values of the asymmetric and angular observables in $B\to D^{(\ast)}\tau\nu_{\tau}$ decays, using the results of the new up-to-date analysis in $B\to D^{(*)}\ell\nu_{\ell}$. We have…

High Energy Physics - Phenomenology · Physics 2019-05-01 Srimoy Bhattacharya , Soumitra Nandi , Sunando Kumar Patra

Markov-chain Monte Carlo sampling has become a standard technique for exploring the posterior distribution of cosmological parameters constrained by observations of CMB anisotropies. Given an infinite amount of time, any MCMC sampler will…

Astrophysics · Physics 2007-05-23 Anze Slosar , Michael Hobson

We apply the general formalism derived in N. Penalva et al. [Phys. Rev. D 101, 113004 (2020)] to the semileptonic decay of pseudoscalar mesons containing a $b$ quark. While present $B\to D^{(*)}$ data give the strongest evidence in favor of…

High Energy Physics - Phenomenology · Physics 2020-11-18 N. Penalva , E. Hernández , J. Nieves

The $b \to c$ semileptonic sum rules provide relations between the decay rates of $B \to D^{(*)} \tau\bar\nu$ and $\Lambda_b \to \Lambda_c \tau\bar\nu$. Starting from the heavy quark and zero-recoil limits, we revisit the derivation of the…

High Energy Physics - Phenomenology · Physics 2026-01-16 Motoi Endo , Syuhei Iguro , Satoshi Mishima , Ryoutaro Watanabe

For real symmetric matrices that are accessible only through matrix vector products, we present Monte Carlo estimators for computing the diagonal elements. Our probabilistic bounds for normwise absolute and relative errors apply to Monte…

Numerical Analysis · Mathematics 2022-03-18 Eric Hallman , Ilse C. F. Ipsen , Arvind Saibaba

Normalizing the recent LHCb measurement of $\Lambda_b \to \Lambda_c \tau \bar\nu$ to the standard model (SM) prediction for the $\Lambda_b \to \Lambda_c \mu \bar\nu$ rate, instead of a LEP measurement, provides a more consistent comparison…

High Energy Physics - Phenomenology · Physics 2023-01-25 Florian U. Bernlochner , Zoltan Ligeti , Michele Papucci , Dean J. Robinson

Modern measurements in flavour physics rely on accurate simulations of signal and background processes, provided by a wide range of general-purpose and specialised Monte-Carlo event generators. Due to the inclusion of a larger amount of…

High Energy Physics - Phenomenology · Physics 2026-04-29 Florian Herren , Raynette van Tonder

A mini-review of measurements of inclusive semileptonic $B \to X_c\ell\nu$ and radiative $B\to X_s\gamma$ decays is presented. The semileptonic $X_c$ mass moments are presented from Belle and BABAR. The inclusive $B\to X_s\gamma$ gamma…

High Energy Physics - Experiment · Physics 2010-12-01 Kyle J. Knoepfel

Semileptonic decays provide an excellent environment for testing the Standard Model (SM). Violation of lepton universality would be a smoking gun for physics beyond the SM. Using semi-tauonic $B$ decays, LHCb finds a value of…

High Energy Physics - Experiment · Physics 2016-11-28 Suzanne Klaver

Hamiltonian Monte Carlo (HMC) is an efficient Bayesian sampling method that can make distant proposals in the parameter space by simulating a Hamiltonian dynamical system. Despite its popularity in machine learning and data science, HMC is…

Machine Learning · Statistics 2020-09-02 Ziming Liu , Zheng Zhang

We revisit the status of the new-physics interpretations of the anomalies in semileptonic $B$ decays in light of the new data reported by Belle on the lepton-universality ratios $R_{D^{(*)}}$ using the semileptonic tag and on the…

High Energy Physics - Phenomenology · Physics 2019-12-24 Rui-Xiang Shi , Li-Sheng Geng , Benjamín Grinstein , Sebastian Jäger , Jorge Martin Camalich

We investigate the semi-leptonic decays of $\bar B \to D^{(*)} \ell\bar\nu$ in terms of the Heavy-Quark-Effective-Theory (HQET) parameterization for the form factors, which is described with the heavy quark expansion up to $\mathcal…

High Energy Physics - Phenomenology · Physics 2022-01-25 Syuhei Iguro , Ryoutaro Watanabe