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Quark-hadron duality in the inclusive semileptonic decay $B\to X_c l\nu$ in the Shifman-Voloshin limit $\Lambda \ll \delta m=m_b - m_c \ll m_b, m_c$ is studied within a nonrelativistic potential model. The integrated semileptonic decay rate…

高能物理 - 唯象学 · 物理学 2009-10-31 A. Le Yaouanc , D. Melikhov , V. Morenas , L. Oliver , O. Pene , J. -C. Raynal

We introduce two approaches to analyses of Borel sum rules. In the first method, we take the Borel mass M2 to infinity. Here, the sum rules become very sensitive to the chosen threshold s0. We fix the threshold by setting the daughter sum…

高能物理 - 唯象学 · 物理学 2007-05-23 Tobias Kleinschmidt

By considering that the weak currents and the electromagnetic current are members of the same SU(3) octet, two sum rules involving leading vector form factors in hyperon semileptonic decays are derived in the limit of exact flavor SU(3)…

高能物理 - 唯象学 · 物理学 2017-05-24 Ruben Flores-Mendieta , Roberto Padron-Stevens

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…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Le Yaouanc , L. Oliver , O. Pene , J. -C. Raynal , V. Morenas

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…

高能物理 - 唯象学 · 物理学 2026-05-01 Motoi Endo , Syuhei Iguro , Satoshi Mishima

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…

高能物理 - 唯象学 · 物理学 2009-10-28 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

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…

高能物理 - 唯象学 · 物理学 2026-01-16 Motoi Endo , Syuhei Iguro , Satoshi Mishima , Ryoutaro Watanabe

Within the OPE, we the new sum rules in Heavy Quark Effective Theory in the heavy quark limit and at order 1/m_Q, using the non-forward amplitude. In particular, we obtain new sum rules involving the elastic subleading form factors chi_i(w)…

高能物理 - 唯象学 · 物理学 2009-11-11 F. Jugeau , A. Le Yaouanc , L. Oliver , J. -C. Raynal

Semileptonic B decays are described by the Isgur-Wise form factor to the leading order in 1/m; four new functions appear in the first order [Luke]. Values of these functions are crucial for the applicability of the whole approach to…

高能物理 - 唯象学 · 物理学 2007-05-23 V. N. Baier , A. G. Grozin

In both the large N_c limit and the valence quark model, semileptonic decays are dominated by resonant final states. Using Bjorken's sum rule in an "unquenched" version of the quark model, I demonstrate that in the heavy quark limit…

高能物理 - 唯象学 · 物理学 2014-11-17 Nathan Isgur

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…

高能物理 - 唯象学 · 物理学 2026-01-16 Motoi Endo , Syuhei Iguro , Satoshi Mishima , Ryoutaro Watanabe

We present an analysis of semileptonic decays of orbitally, $P$-wave excited $B_{s}$ meson states $B^{**}_{s}$, including the newly found narrow $B_{s1}(5830)$ and $B^{*}_{s2}(5840)$ states, into low lying $D_{s}$ mesons ($D_{s}(1968)$,…

高能物理 - 唯象学 · 物理学 2014-11-21 Long-Fei Gan , Ming-Qiu Huang

We derive a Bjorken sum rule for semileptonic $\Omega_b$ decays to ground and low-lying negative-parity excited charmed baryon states, in the heavy quark limit. We discuss the restriction from this sum rule on form factors and compare it…

高能物理 - 唯象学 · 物理学 2009-10-22 Q. P. Xu

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…

高能物理 - 唯象学 · 物理学 2014-11-17 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

QCD sum rules for the determination of form factors of $\Lambda_b$ and $\Lambda_c$ semileptonic decays are investigated. With a form for the baryonic current appropriate for the limits of the heavy quark symmetries, the different tensor…

高能物理 - 唯象学 · 物理学 2008-11-26 R. S. Marques de Carvalho , F. S. Navarra , M. Nielsen , E. Ferreira , H. G. Dosch

Lepton flavor universality is a key prediction of the Standard Model of particle physics and any violation of it immediately indicates the existence of new physics. Given the recent more than $4\sigma$ discrepancy in charged current…

高能物理 - 唯象学 · 物理学 2026-01-16 Motoi Endo , Syuhei Iguro , Tim Kretz , Satoshi Mishima , Ryoutaro Watanabe

Sum rules originally derived for the M\"ossbauer Effect are applied to weak semileptonic B decays. The sum rules follow from assuming that the decay by electroweak boson emission of an unstable nucleus or heavy quark in a bound system is…

高能物理 - 唯象学 · 物理学 2009-10-22 Harry J. Lipkin

We derive new sum rules for the form factors of the $B_c\to J/\psi\, \ell \bar{\nu}_\ell$ semileptonic transitions, employing the vacuum-to-$B_c$ correlation function of the $J/\psi$-interpolating and $b\to c$ weak currents. In the heavy…

高能物理 - 唯象学 · 物理学 2023-01-25 Marzia Bordone , Alexander Khodjamirian , Thomas Mannel

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…

高能物理 - 唯象学 · 物理学 2016-06-29 A. Le Yaouanc , L. Oliver , J. -C. Raynal

We consider the ratios of doubly heavy baryon masses using Double Ratios of Sum Rules (DRSR), which are more accurate than the usual simple ratios used for getting hadron masses. Our results are comparable with the ones from potential…

高能物理 - 唯象学 · 物理学 2011-02-15 R. M. Albuquerque , S. Narison
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