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We calculate the form factors for weak decays of $B_{(s)}$ and $D_{(s)}$ mesons to light pseudoscalar and vector mesons within a relativistic dispersion approach based on the constituent quark picture. This approach gives the form factors…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dmitri Melikhov , Berthold Stech

The relation between the hyperfine structure and leptonic decay rates of heavy quarkonia is considered with the account of relativistic and radiative corrections. The calculated decay rates agree well with the available experimental data,…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Ebert , R. N. Faustov , V. O. Galkin

The interplay of QCD in $\Delta S=1,2$ non-leptonic weak transitions can be rigorously analyzed, at the inclusive level, by studying the 2--point functions associated with the corresponding $\Delta S=1,2$ effective Hamiltonians. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

We review recent developments in double-beta decay, focusing on what can be learned about the three light neutrinos in future experiments. We examine the effects of uncertainties in already measured neutrino parameters and in calculated…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. R. Elliott , J. Engel

An overview is presented about old and recent methods to compute the $K\to \pi \pi$ decay amplitude.

High Energy Physics - Lattice · Physics 2007-05-23 Massimo Testa

The semileptonic decay $\Lambda_c \to \Lambda \ell \nu$ is considered in the framework of heavy quark effective theory beyond the leading order in the $1/m_c$ expansion. According to our estimate the polarization variable will receive only…

High Energy Physics - Phenomenology · Physics 2009-10-22 Guey-Lin Lin , Thomas Mannel

We discuss the size of the higher order terms in the NRQCD expansion of the pseudoscalar decay constant. Power law divergences in the matrix elements contributing to the pseudoscalar decay constant are also investigated.

High Energy Physics - Lattice · Physics 2010-01-18 J. Hein

In this paper we study the weak decays of $J/\psi$ and $\Upsilon(1S)$. Using the Bethe-Salpeter method, we calculate the hadronic transition amplitude and give the form factors. We find that two new form factors $h_1$ and $h_2$, which do…

High Energy Physics - Phenomenology · Physics 2021-11-05 Tianhong Wang , Yue Jiang , Han Yuan , Kan Chai , Guo-Li Wang

We study fractal dimension properties of singular Jacobi operators. We prove quantitative lower spectral/quantum dynamical bounds for general operators with strong repetition properties and controlled singularities. For analytic…

Spectral Theory · Mathematics 2018-04-24 Rui Han , Fan Yang , Shiwen Zhang

We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate differential operators.

Analysis of PDEs · Mathematics 2023-05-10 Gabriele Cora , Roberta Musina , Alexander I. Nazarov

The governing role of light-cone dynamics in inclusive heavy hadron decay processes is demonstrated. Nonperturbative QCD effects on the processes can be systematically calculated using light-cone expansion and heavy quark effective theory.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Changhao Jin

We present a preliminary analysis of the heavy-heavy spectrum and heavy-light decay constants in full QCD, using a tadpole-improved SW quark action and an RG-improved gauge action on a 16^3 x 32 lattice with four sea quark masses…

High Energy Physics - Lattice · Physics 2015-06-25 PACS Collaboration , S. Aoki et al

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Neubert

The physics of the weak decay of hypernuclei is briefly reviewed from a theoretical point of view. Special regard is devoted to the recent progress concerning the determination of the non--mesonic decay widths and the asymmetry parameters.…

Nuclear Theory · Physics 2007-05-23 G. Garbarino

This work is devoted to investigating the $1/2\to3/2$ weak decays of singly heavy baryons. Due to the orthogonality between the spin wavefunctions of antitriplet baryons and spin-3/2 baryons, the weak decay amplitude for such processes…

High Energy Physics - Phenomenology · Physics 2025-08-20 Fu-Wei Zhang , Zhen-Xing Zhao

Nonmesonic weak decays of the A=4, and 5 hypernuclei are studied. The short range parts of the hyperon-nucleon weak interactions are described by the direct quark (DQ) weak transition potential, while the longer range interactions are given…

Nuclear Theory · Physics 2009-11-07 K. Sasaki , T. Inoue , M. Oka

Polarization observables in top quark decays are sensitive probes of possible new physics contributions to the interactions of the heavy third generation quarks. Within an effective theory approach such new physics contributions can be…

High Energy Physics - Phenomenology · Physics 2011-05-20 Jernej F. Kamenik

Motivated by potential applications to partial differential equations, we develop a theory of fine scales of decay rates for operator semigroups. The theory contains, unifies, and extends several notable results in the literature on decay…

Functional Analysis · Mathematics 2016-03-15 Charles Batty , Ralph Chill , Yuri Tomilov

Progress in the theoretical description of B-meson decays, in particular decays to light hadrons, is reviewed. The factorization properties of such decays can be analyzed using the soft-collinear effective theory. Applications of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thomas Becher

Some recent developments in the calculation of weak matrix elements on the lattice are reviewed. In particular, we concentrate on the application of MPSTV non-perturbative renormalization method to the operators relevant to kaon physics.…

High Energy Physics - Lattice · Physics 2007-05-23 M. Talevi