543 research outputs found
Bound on the curvature of the Isgur-Wise function of the baryon semileptonic decay Lambda_b -> Lambda_c + l + nu
In the heavy quark limit of QCD, using the Operator Product Expansion, the
formalism of Falk for hadrons or arbitrary spin, and the non-forward amplitude,
as proposed by Uraltsev, we formulate sum rules involving the Isgur-Wise
function of the baryon transition , where the light cloud has for both
initial and final baryons. We recover the lower bound for the slope
obtained by Isgur et al., and we
generalize it by demonstrating that the IW function is an
alternate series in powers of , i.e. . Moreover, exploiting systematically the sum rules, we get an improved
lower bound for the curvature in terms of the slope, . This
bound constrains the shape of the Isgur-Wise function and it will be compelling
in the analysis of future precise data on the differential rate of the baryon
semileptonic decay , that
has a large measured branching ratio, of about 5%.Comment: 16 page
Sum rules for leading and subleading form factors in Heavy Quark Effective Theory using the non-forward amplitude
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) (i = 1,2, 3) at order 1/m_Q that originate from the L_kin and
L_mag perturbations of the Lagrangian. To the sum rules contribute only the
same intermediate states (j^P, J^P) = ((1/2)^-, 1^-), ((3/2)^-, 1^-) that enter
in the 1/m_Q^2 corrections of the axial form factor h_(A_1)(w) at zero recoil.
This allows to obtain a lower bound on -delta_(1/m^2)^(A_1) in terms of the
chi_i(w) and the shape of the elastic IW function xi(w). An important
theoretical implication is that chi'_1(1), chi_2(1) and chi'_3(1) (chi_1(1) =
chi_3(1) = 0 from Luke theorem) must vanish when the slope and the curvature
attain their lowest values rho^2->3/4, sigma^2->15/16. These constraints should
be taken into account in the exclusive determination of |V_(cb)|.Comment: Invited talk to the International Workshop on Quantum Chromodynamics
: Theory and Experiment, Conversano (Bari, Italy), 16-20 June 200
Lagrangian perturbations at order 1/m and the non-forward amplitude in Heavy Quark Effective Theory
We pursue the program of the study of the non-forward amplitude in HQET. We
obtain new sum rules involving the elastic subleading form factors
at order that originate from the and
perturbations of the Lagrangian. To obtain these sum rules we
use two methods. On the one hand we start simply from the definition of these
subleading form factors and, on the other hand, we use the Operator Product
Expansion. To the sum rules contribute only the same intermediate states that enter in the
corrections of the axial form factor at zero recoil.
This allows to obtain a lower bound on in terms of
the and the shape of the elastic IW function . We find
also lower bounds on the correction to the form factors and
at zero recoil. An important theoretical implication is that , and ( from Luke
theorem) must vanish when the slope and the curvature attain their lowest
values , . We discuss
possible implications on the precise determination of
Remarks on sum rules in the heavy quark limit of QCD
We underline a problem existing in the heavy quark limit of QCD concerning
the rates of semileptonic B decays into P-wave mesons, where (wide states) or (narrow states). The leading order
sum rules of Bjorken and Uraltsev suggest , in contradiction with experiment. The same trend follows also from a sum
rule for the subleading curent matrix element correction .
The problem is made explicit in relativistic quarks models \`a la Bakamjian and
Thomas, that give a transparent physical interpretation of the latter as due,
not to a force, but to the Wigner rotation of the light quark spin.
We point out moreover that the selection rule for decay constants of states, , predicts, assuming the model of factorization,
the opposite hierarchy .Comment: Contribution to the International Europhysics Conference on HEP,
Budapest, July 2001 (presented by L. Oliver); 5 page
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