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The Bakamjian-Thomas relativistic quark model for hadron current matrix elements, while non-covariant at finite mass, is successful in the heavy quark limit : form factors are covariant and satisfy Isgur-Wise scaling and Bjorken-Uraltsev…

High Energy Physics - Phenomenology · Physics 2016-05-03 A. Le Yaouanc , L. Oliver , J. -C. Raynal

We study semileptonic sum rules for $b \to c \tau \overline{\nu}$ transitions involving orbitally excited charm hadrons. Starting from the amplitude-level relation implied by the heavy quark symmetry, we construct sum rules relating these…

High Energy Physics - Phenomenology · Physics 2026-05-01 Motoi Endo , Syuhei Iguro , Satoshi Mishima

The Bakamjian-Thomas relativistic quark model, describing hadrons with a fixed number of constituents, yields in the heavy quark limit of QCD covariant Isgur-Wise functions and satisfies the whole tower of lowest moment sum rules…

High Energy Physics - Phenomenology · Physics 2016-06-29 A. Le Yaouanc , L. Oliver , J. -C. Raynal

We underline a problem existing in the heavy quark limit of QCD concerning the rates of semileptonic B decays into P-wave $D_J(j)$ mesons, where $j = {1 \over 2}$ (wide states) or $j = {3 \over 2}$ (narrow states). The leading order sum…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Le Yaouanc , L. Oliver , O. Pene , J. -C. Raynal , V. Morenas

We consider the dominant $c\bar{c}$ contribution to $\Delta \Gamma$ for the $B_s^0$-$\bar{B}_s^0$ system in the heavy quark limit for both $b$ and $c$ quarks. In analogy with the Bjorken-Isgur-Wise sum rule in semileptonic heavy hadron…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

Semileptonic transitions $\overline{B} \to D^{(n)} \ell \overline{\nu}$, where $D^{(n)} (n \not = 0)$ is a radially excited meson, have recently attracted much attention as a way to understand some puzzles between theory and data. Following…

High Energy Physics - Phenomenology · Physics 2017-09-27 Damir Bečirević , Alain Le Yaouanc , Luis Oliver

We show that the sum rule recently proved by Uraltsev in the heavy quark limit of QCD holds in relativistic quark models \`a la Bakamjian and Thomas, that were already shown to satisfy Isgur-Wise scaling and Bjorken sum rule. This new sum…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

Once chosen the dynamics in one frame, for example the rest frame, the Bakamjian and Thomas method allows to define relativistic quark models in any frame. These models have been shown to provide, in the heavy quark limit, fully covariant…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Morénas , A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

QCD sum rules are commonly used to predict the characteristics of ground-state hadrons. We demonstrate that two-point sum rules for the decay constants of charmed ($D^{(*)},D_s^{(*)}$) and bottom ($B^{(*)},B_s^{(*)}$) mesons can also be…

High Energy Physics - Phenomenology · Physics 2015-06-19 P. Gelhausen , A. Khodjamirian , A. A. Pivovarov , D. Rosenthal

We study the transitions ${\Lambda_b \to \Lambda_c\left({1 \over 2}^\pm \right)}$ in the Bakamjian-Thomas (BT) relativistic quark model formalism, which describes hadrons with a fixed number of constituents. In the heavy quark limit, the BT…

High Energy Physics - Phenomenology · Physics 2025-03-03 V. Morénas , A. Le Yaouanc , L. Oliver

Once chosen the dynamics in one frame, the rest frame in this paper, the Bakamjian and Thomas method allows to define relativistic quark models in any frame. These models have been shown to provide, in the infinite quark mass limit, fully…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Morénas , A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

We prove the full covariance of the heavy-to-light weak current matrix elements based on the Bakamjian-Thomas construction of relativistic quark models, in the heavy mass limit for the parent hadron and the large energy limit for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Charles , A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

We report on a two-flavor lattice QCD study of the axial, charge and matter distributions of the $B$ meson and its first radial excitation. As our framework is the static limit of Heavy Quark Effective Theory (HQET), taking their Fourier…

High Energy Physics - Lattice · Physics 2016-11-09 Benoît Blossier , Antoine Gérardin

Subleading Isgur-Wise form factor $\tau(v\cdot v')$ at ${\cal O}(1/m_Q)$ for $\Lambda_b\to\Lambda_{c1}^{1/2,3/2}$ weak transition is calculated by using the QCD sum rules in the framework of the heavy quark effective theory (HQET), where…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jong-Phil Lee , Gye T. Park

In Heavy Quark Effective Theory the calculation of form-factors of higher excited states in a non-relativistic framework suffers severe inconsistencies due to frame dependencies. We show how careful inclusion of the Wigner-rotation of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. Wambach

The tree level semileptonic $\Lambda_{b}\to pl\nu$ and $\Lambda_{c}\to nl\nu$ transitions are investigated using the light cone QCD sum rules approach in full theory. The spin--1/2, $\Lambda_{Q}$ baryon with $Q=b$ or $c$, is considered by…

High Energy Physics - Phenomenology · Physics 2015-05-13 K. Azizi , M. Bayar , Y. Sarac , H. Sundu

Exclusive semileptonic decays of B mesons to orbitally excited D mesons are considered beyond the infinitely heavy quark limit in the framework of the relativistic quark model based on the quasipotential approach. This model agrees with the…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Ebert , R. N. Faustov , V. O. Galkin

The leading Isgur-Wise form factor $\xi(y)$ parametrizing the semileptonic transitions $\Lambda_b\to\Lambda^{1/2}_{c1}\ell\bar\nu$ and $\Lambda_b\to\Lambda^{3/2}_{c1}\ell\bar\nu$ is calculated by using the QCD sum rules in the framework of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ming-Qiu Huang , Jong-Phil Lee , Chun Liu , H. S. Song

We study heavy-hadron semileptonic decays proceeding via $b \to c$ transition, such as $B \to D^{(*)}\tau\bar{\nu}_\tau$ and $\Lambda_b \to \Lambda_c\tau\bar{\nu}_\tau$. In the heavy-quark limit, where the heavy-quark symmetry holds, we…

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

Using the {\it hybrid} moments-Laplace sum rule (HSR), which is well-defined for $M_b \rar \infty$, in contrast with the $popular$ double Borel (Laplace) sum rule (DLSR), which blows up in this limit when applied to the heavy-to-light…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Narison
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