2,625 research outputs found
Deviation pattern approach for optimizing perturbative terms of QCD renormalization group invariant observables
We first consider the idea of renormalization group-induced estimates, in the
context of optimization procedures, for the Brodsky-Lepage-Mackenzie approach
to generate higher-order contributions to QCD perturbative series. Secondly, we
develop the deviation pattern approach (DPA) in which through a series of
comparisons between lower-order RG-induced estimates and the corresponding
analytical calculations, one could modify higher-order RG-induced estimates.
Finally, using the normal estimation procedure and DPA, we get estimates of
corrections for the Bjorken sum rule of polarized deep-inelastic
scattering and for the non-singlet contribution to the Adler function.Comment: 5 pages, proceedings for the XXIII International Baldin Seminar on
High Energy Physics Problems "Relativistic Nuclear Physics and Quantum
Chromodynamics
Nucleon structure functions in noncommutative space-time
In the context of noncommutative space-time, we investigate the nucleon
structure functions which plays an important role to identify the internal
structure of nucleons. We use the corrected vertices and employ new vertices
that appear in two approaches of noncommutativity and calculate the proton
structure functions in terms of noncommutative tensor \theta_{\mu\nu}. To check
our result, we plot the nucleon structure function (NSF), F_2(x), and compare
it with experimental data and the result coming out from the GRV, GJR and CT10
parametrization models. We show that new vertex which is arising the
noncommutativity correction will lead us to better consistency between
theoretical result and experimental data for NSF. This consistency would be
better at small values of x-Bjorken variable. To indicate and confirm the
validity of our calculations, we also act conversely and obtain an lower bound
for the numerical values of \Lambda_{NC} scale which are corresponding to the
recent reports.Comment: 28 pages, 5 figure
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