50 research outputs found
Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory
The baryon axial vector current is computed at one-loop order in heavy baryon
chiral perturbation theory in the large-N_c limit, where N_c is the number of
colors. Loop graphs with octet and decuplet intermediate states cancel to
various orders in N_c as a consequence of the large-N_c spin-flavor symmetry of
QCD baryons. These cancellations are explicitly shown for the general case of
N_f flavors of light quarks. In particular, a new generic cancellation is
identified in the renormalization of the baryon axial vector current at
one-loop order. A comparison with conventional heavy baryon chiral perturbation
theory is performed at the physical values N_c=3, N_f=3.Comment: REVTex4, 29 pages, 2 figures, 6 tables. Equations (32) and (81)
corrected. Some typos fixed. Results and conclusions remain unchange
Radiative corrections to all charge assignments of heavy quark baryon semileptonic decays
In semileptonic decays of spin-1/2 baryons containing heavy quarks up to six
charge assignments for the baryons and lepton are possible. We show that the
radiative corrections to four of these possibilities can be directly obtained
from the final results of the two possibilities previously studied. There is no
need to recalculate integrals over virtual or real photon momentum or any
traces.Comment: 15 pages, 2 figures, RevTex. Extended discussion. Final version to
appear in Physical Review
On the structure of large N cancellations in baryon chiral perturbation theory
We show how to compute loop graphs in heavy baryon chiral perturbation theory
including the full functional dependence on the ratio of the Delta--nucleon
mass difference to the pion mass, while at the same time automatically
incorporating the 1/N cancellations that follow from the large-N spin-flavor
symmetry of baryons in QCD. The one-loop renormalization of the baryon axial
vector current is studied to demonstrate the procedure. A new cancellation is
identified in the one-loop contribution to the baryon axial vector current. We
show that loop corrections to the axial vector currents are exceptionally
sensitive to deviations of the ratios of baryon-pion axial couplings from SU(6)
values
Recoil Order Chiral Corrections to Baryon Octet Axial Currents
We calculate chiral corrections to the octet axial currents through using baryon chiral perturbation theory (BCPT). The relativistic BCPT
framework allows one to sum an infinite series of recoil corrections at a given
order in the chiral expansion. We also include SU(3)-breaking operators
occuring at not previously considered. We determine the
corresponding low-energy constants (LEC's) from hyperon semileptonic decay data
using a variety of infrared regularization schemes. We find that the chiral
expansion of the axial currents does not display the proper convergence
behavior, regardless of which scheme is chosen. We explore the implications of
our analysis for determinations of the strange quark contribution to the
nucleon spin, .Comment: RevTex, 19 pages + 2 PS figure
Determination of the Kobayashi-Maskawa-Cabibbo matrix element V_{us} under various flavor-symmetry-breaking models in hyperon semileptonic decays
We study the success to describe hyperon semileptonic decays of four models
that incorporate second-order SU(3) symmetry breaking corrections. The criteria
to assess their success is by determining V_{us} in each of the three relevant
hyperon semileptonic decays and comparing the values obtained with one another
and also with the one that comes from K_{l3} decays. A strong dependence on the
particular symmetry breaking model is observed. Values of V_{us} which do not
agree with the one of K_{l3} are generally obtained. However, in the context of
chiral perturbation theory, only the model whose corrections are O(m_s) and
O(m_s^{3/2}) is successful. Using its predictions for the f_1 form factors one
can quote a value of V_{us} from this model, namely, V_{us}=0.2176\pm 0.0026,
which is in excellent agreement with the K_{l3} one.Comment: Final versio
SU(3) symmetry breaking in hyperon semileptonic decays
Flavor SU(3) symmetry breaking in the hyperon semileptonic decay form-factors
is analyzed using the 1/N expansion. A detailed comparison with experimental
data shows that corrections to f_1 are approximately 10%, which agrees with
theoretical expectations. Corrections to g_1 are compatible with first-order
symmetry breaking. A fit to the experimental data allows one to predict the g_1
form factor for Xi^0 -> Sigma^+ decay. The proton matrix element of the T^8
component of the axial current (which is equal to 3F-D in the SU(3) symmetry
limit) is found to be approximately 0.34.Comment: 18 pages (revtex). Discussion of theory errors added. Two redundant
parameters for symmetry breaking in f1 deleted. Central values for the fits
remain unchanged, but some of the errors are modifie
Can the polarization of the strange quarks in the proton be positive ?
Recently, the HERMES Collaboration at DESY, using a leading order QCD
analysis of their data on semi-inclusive deep inelastic production of charged
hadrons, reported a marginally positive polarization for the strange quarks in
the proton. We argue that a non-negative polarization is almost impossible.Comment: 6 pages, latex, minor changes in the discussion after Eq. (9