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In the leading order of the heavy quark expansion, we propose a method within the OPE and the trace formalism, that allows to obtain, in a systematic way, Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. Le Yaouanc , L. Oliver , J. -C. Raynal

In determining the mesonic wave function from QCD inspired potential model, if the linear confinement term is taken as parent (with columbic term as perturbation), Airy's function appears in the resultant wave function - which is an…

High Energy Physics - Phenomenology · Physics 2012-06-22 Sabyasachi Roy , Dilip Kumar Choudhury

The slope and curvature of Isgur Wise function for $B_{c}$ meson is computed in a QCD potential model in two different approaches of choosing the perturbative term of the Cornell potential. Based on heavy quark effective theory the…

High Energy Physics - Phenomenology · Physics 2022-12-06 Krishna Kingkar Pathak , D K Choudhury

Using the OPE, we formulate new sum rules in the heavy quark limit of QCD. These sum rules imply that the elastic Isgur-Wise function $\xi (w)$ is an alternate series in powers of $(w-1)$. Moreover, one gets that the $n$-th derivative of…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Jugeau , A. Le Yaouanc , L. Oliver , J. -C. Raynal

The h+, h_A1 form factors for the semi-leptonic B->D and B->D* decays are evaluated in quenched lattice QCD with beta=6.2. The action and the operators are fully O(a) non-perturbatively improved. The Isgur-Wise function is evaluated and…

High Energy Physics - Lattice · Physics 2007-05-23 UKQCD collaboration , G. N. Lacagnina

We compute the Isgur-Wise function using heavy quark effective theory formulated on the lattice. The non-relativistic kinetic energy term of the heavy quark is included to the action as well as terms remaining in the infinite quark mass…

High Energy Physics - Lattice · Physics 2009-10-28 S. Hashimoto , H. Matsufuru

We pursue the group theoretical method to study Isgur-Wise functions. We apply the general formalism, formerly applied to the baryon case j^P = 0^+ (for \Lambda_b -> \Lambda_c \ell \nu), to mesons with j^P = 1/2^-, i.e. $\overline{B} ->…

High Energy Physics - Phenomenology · Physics 2014-12-17 A. Le Yaouanc , L. Oliver , J. -C. Raynal

The integral representation for Isgur -- Wise function (IWF) is obtained in the framework of instant--form relativistic Hamiltonian dynamics for mesons with one heavy quark. The upper and lower limits are calculated for the slope parameter…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. F. Krutov , O. I. Shro , V. E. Troitsky

We demonstrate that the B->D(*) l nu form factors can be accurately predicted given the slope parameter rho^2 of the Isgur-Wise function. Only weak assumptions, consistent with lattice results, on the wavefunction for the light degrees of…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Coleman , M. G. Olsson , S. Veseli

Exclusive semileptonic decays B->D_1(2420)l\bar\nu and B->D_2^*(2460)l\bar\nu are studied at the subleading order of the heavy quark expansion. The subleading Isgur-Wise functions resulted from the kinetic energy and chromomagnetic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ming-qiu Huang , Yuan-ben Dai

Two new sum rules were recently discovered by Le Yaouanc et al. by applying the operator product expansion to the nonforward matrix element of a time-ordered product of $b \to c$ currents in the heavy-quark limit of QCD. They lead to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthew P. Dorsten

We investigate the form factors for exclusive semileptonic decays of $B$-meson to $D,~D^*$, based on the parton picture and helped by the results of the HQET. We obtain the numerical results for the slope of the Isgur-Wise function, which…

High Energy Physics - Phenomenology · Physics 2015-06-25 C. S. Kim , Jae Kwan Kim , Yeong Gyun Kim , Kang Young Lee

Exclusive semileptonic B decays to radially excited charmed mesons are investigated at the first order of the heavy quark expansion. The arising leading and subleading Isgur-Wise functions are calculated in the framework of the relativistic…

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

The six independent formfactors describing the weak decay \semi\ are determined in terms of one universal function when both the $b$ and $c$ quarks are treated as heavy. The relations between these formfactors are modified by terms…

High Energy Physics - Phenomenology · Physics 2011-07-19 Martin J. Savage

Exclusive semileptonic B meson decays to orbitally excited D mesons are investigated in the infinitely heavy quark limit in the framework of the relativistic quark model based on the quasipotential approach. The B\to D^{**}e\nu Isgur-Wise…

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

In the large $N_c$ limit, the $\Lambda_b$ and $\Lambda_c$ can be treated as bound states of chiral solitons and mesons containing a heavy quark. We show that the soliton and heavy meson are bound in an attractive harmonic oscillator…

High Energy Physics - Phenomenology · Physics 2008-11-26 Elizabeth Jenkins , Aneesh V. Manohar , Mark B. Wise

We provide upper and lower bounds on the semileptonic weak decay form factors for $B \to D^(*)$ and $\Lambda_b \to \Lambda_c$ decays by utilizing inclusive heavy quark effective theory sum rules. These bounds are calculated to second order…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cheng-Wei Chiang

We present theoretical evidence that the exclusive/inclusive ratio of semileptonic $\Lambda_b$-decays exceeds that of semileptonic B-decays where the experimental exclusive/inclusive ratio amounts to about 66%. We start from the observation…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. G. Korner , B. Melic

We calculate heavy quark symmetry breaking in the slopes and curvatures of the $B\to D^{(*)}\ell\bar\nu$ spectra at zero recoil, including the order $\alpha_s^2\beta_0$ corrections. We point out that the theoretical uncertainties in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Benjamin Grinstein , Zoltan Ligeti

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