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We show how expansions in powers of Planck's constant hbar = h/2\pi can give new insights into perturbative and nonperturbative properties of quantum field theories. Since hbar is a fundamental parameter, exact Lorentz invariance and gauge…

High Energy Physics - Phenomenology · Physics 2011-03-23 Stanley J. Brodsky , Paul Hoyer

We present a QCD based interpretation of heavy quark fragmentation which utilizes the heavy quark mass expansion. By distinguishing between perturbative and non-perturbative QCD effects, we show how to reliably extract mass independent…

High Energy Physics - Phenomenology · Physics 2009-09-15 R. L. Jaffe , L. Randall

The leading nonperturbative effects to the fine and hyperfine splitting were calculated some time ago. Recently, they have been used in order to obtain realistic numerical results for the lower levels in bottomonium systems. We point out…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Pineda

The determination of $|V_{cb}|$ using inclusive and exclusive (semi-)leptonic decays exhibits a long-standing tension of varying ${\cal O}(3 \sigma)$ significance. For the inclusive determination the decay rate is expanded in $1/m_b$ using…

High Energy Physics - Phenomenology · Physics 2016-05-25 Sascha Turczyk

Bauer, Ligeti and Luke have recently proposed a new method for measuring |V_{ub}| in inclusive semileptonic B decays, using a cut on the lepton invariant mass to discriminate against b->c transitions. We investigate the structure of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Neubert

Moments of the photon energy spectrum in B -> Xs gamma decays, of the hadronic mass spectrum and of the lepton energy spectrum in B -> Xc l nu decays are sensitive to the masses of the heavy quarks as well as to the non-perturbative…

High Energy Physics - Experiment · Physics 2007-05-23 Marta Calvi

We consider the Heavy Quark Expansion (HQE) for the nonleptonic decay rates of heavy hadrons, and compute the NLO QCD corrections to power terms up to order $1/m_Q^2$. We neglect the masses of the final-state quarks, so the application of…

High Energy Physics - Phenomenology · Physics 2023-07-05 Thomas Mannel , Daniel Moreno , Alexei A. Pivovarov

A lattice computation of the B-meson decay constant and the mass of the b-quark to leading order in the heavy quark effective theory is presented. The involved renormalization problems are solved non-perturbatively, and the continuum limit…

High Energy Physics - Phenomenology · Physics 2011-01-27 Jochen Heitger

We study the heavy quark mass dependence of selected observables constructed from heavy-light meson correlation functions in small-volume two-flavour lattice QCD after taking the continuum limit. The light quark mass is tuned to zero,…

High Energy Physics - Lattice · Physics 2016-02-17 P. Fritzsch , N. Garron , J. Heitger

During the last years, the ALPHA collaboration has been developing and implementing a method based on Heavy Quark Effective Theory (HQET) to compute B-mesons observables through lattice simulations. Thanks to a non-perturbative matching to…

High Energy Physics - Lattice · Physics 2015-03-18 Nicolas Garron

We present predictions based on the heavy quark expansion in QCD. We find SU(3) breaking in B mesons suppressed in the framework of the HQE. B_s is expected to have the semileptonic width about 1% lower and Lambda_b about 3% higher when…

High Energy Physics - Phenomenology · Physics 2015-05-28 I. I. Bigi , Th. Mannel , N. Uraltsev

The resonance mass spectra have been studied through a non-relativistic hypercentral Constituent Quark Model (hCQM) using a linear potential. Also, the effects of higher order correction terms (${\cal{O}}(\frac{1}{m})$,…

High Energy Physics - Phenomenology · Physics 2024-05-13 Chandni Menapara , Ajay Kumar Rai

We obtain new estimates for the parameters $\lambda_{E}^2$, $\lambda_H^2$ and their ratio $\mathcal{R} = \lambda_{E}^2/\lambda_H^2$, which appear in the second moments of the $B$-meson light-cone distribution amplitudes defined in the…

High Energy Physics - Phenomenology · Physics 2021-08-11 Muslem Rahimi , Marcel Wald

We calculate nonperturbative ${\cal O}(\Lambda^2_{QCD}/m^2_c)$ corrections to the dilepton invariant mass spectrum and the forward-backward charge asymmetry in $B\to X_se^+e^-$ decay using a heavy quark expansion approach. The method has…

High Energy Physics - Phenomenology · Physics 2016-09-06 G. Buchalla , G. Isidori , S. -J. Rey

We present a lattice QCD calculation of the heavy quark expansion parameters $\mu_{\pi}^2$ and $\mu_G^2$ for heavy-light mesons and heavy-light-light baryons. The calculation is carried out on a 20$^3\times$48 lattice at $\beta$ = 6.0 in…

We present results of a high statistics study (O(2000) configurations) of the quark masses in the MS-bar scheme from Lattice QCD in the quenched approximation at beta=6.0, beta=6.2 and beta=6.4 using both the Wilson and the tree-level…

High Energy Physics - Lattice · Physics 2009-10-30 L. Giusti

The Heavy Quark Expansion (HQE) is the major tool to perform calculations for inclusive semileptonic $B\to X_cl\bar{\nu}$ and, consequently, for precision determinations of the CKM matrix element $V_{cb}$. To further improve precision, we…

High Energy Physics - Phenomenology · Physics 2024-10-22 Ilija S. Milutin , Thomas Mannel , K. Keri Vos

Orbitally excited heavy-light mesons are potentially important as tools for tagging the flavors and momenta of ground-state pseudoscalars detected through weak decays. We use heavy-quark symmetry supplemented by insights gleaned from…

High Energy Physics - Phenomenology · Physics 2008-11-26 Estia J. Eichten , Christopher T. Hill , Chris Quigg

The largest contributions to the $n=2$ Lamb-shift, fine structure interval and $2s$ hyperfine structure of muonic hydrogen are calculated by exact numerical evaluations of the Dirac equation, rather than by a perturbation expansion in…

Atomic Physics · Physics 2013-05-30 Paul Indelicato

We explain how to perform non-perturbative computations in HQET on the lattice. In particular the problem of the subtraction of power-law divergences is solved by a non-perturbative matching of HQET and QCD. As examples, we present a full…

High Energy Physics - Lattice · Physics 2011-01-27 Jochen Heitger , Rainer Sommer
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