429 research outputs found
Comment on the recent COMPASS data on the spin structure function g_1
We examine the recent COMPASS data on the spin structure function g_1
singlet. We show that it is rather difficult to use the data in the present
form in order to draw conclusions on the initial parton densities. However, our
tentative estimate is that the data better agree with positive rather than
negative initial gluon densities.Comment: 8 pages, 1 figur
On the forward-backward charge asymmetry in e+e- -annihilation into hadrons at high energies
The forward-backward asymmetry in e+ e- annihilation into a quark-antiquark
pair is considered in the double-logarithmic approximation at energies much
higher than the masses of the weak bosons. It is shown that after accounting to
all orders for the exchange of virtual photons and W, Z -bosons one is lead to
the following effect (asymmetry): quarks with positive electric charge (e.g. u,
\bar{d}) tend to move in the e+ - direction whereas quarks with negative
charges (e.g. d, \bar{u}) tend to move in the e- - direction. The value of the
asymmetry grows with increasing energy when the produced quarks are within a
cone with opening angle, in the cmf, \theta_0\sim 2M_Z/\sqrt{s} around the e+e-
-beam. Outside this cone, at \theta_0 << \theta << 1, the asymmetry is
inversely proportional to \theta .Comment: 17 Pages, 2 Tables, 4 Figures. Hadronization effects to the asymmetry
are considered with more detail
Perturbative power Q^2-corrections to the structure function g(1)
We prove that regulating infrared divergencies generates power (~1/(Q^2)^k)
corrections to the spin structure function g_1 at small x and large Q^2. At the
same time it leads to the corrections ~(Q^2)^k at small Q^2. We present the
explicit series of such terms as well as the formulae for their resummation.
These contributions are not included in the standard analysis of the
experimental data. We argue that accounting for such terms can sizably change
the impact of the other power corrections conventionally attributed to the
higher twists.Comment: Theoretical grounds for our approach are considered in much more
detailed way than in the previous version; 10 pages, 2 figure
Impact of double-logarithmic electroweak radiative corrections on the non-singlet structure functions at small x
In the QCD context, the non-singlet structure functions of u and d -quarks
are identical, save the initial quark densities. Electroweak radiative
corrections, being flavor-dependent, bring further difference between the
non-singlets. This difference is calculated in the double-logarithmic
approximation and the impact of the electroweak corrections on the non-singlet
intercepts is estimated numerically.Comment: 17 pages, no figure
Flavor Singlet Contribution to the Structure Function at Small-x
The singlet contribution to the structure function is calculated
in the double-logarithmic approximation of perturbative QCD in the region . Double logarithmic contributions of the type which are not included in the GLAP evolution equations are shown to
give a power-like rise at small-x which is much stronger than the extrapolation
of the GLAP expressions. The dominant contribution is due to the gluons which,
in contrast to the unpolarized case, mix with the fermions also in the region
. The two main reasons why the small-x behavior of the double
logarithmic approximation is so much stronger than the usual GLAP evolution
are: the larger kinematical region of integration (in particular, no ordering
in transverse momentum) and the contributions from non-ladder diagrams.Comment: LaTeX with 9 Figures in a separate file. Full file also available at
http://www.desy.de/ftp/pub/preprints/desy/1996/desy96-025.ps and
http://www.desy.de/ftp/pub/preprints/desy/1996/desy96-025.fig1.p
Functional methods in the theory of magnetoimpurity states of electrons in quantum wires
Functional methods are used to study magnetoimpurity states of electrons in
nanostructures. The Keldysh formalism is applied to these states. The theory is
illustrated using a quantum wire sample with impurity atoms capable of
localizing electrons in a magnetic field. The characteristics of
magnetoimpurity states of electrons in the wire are calculated using the model
of a Gaussian separable potential.Comment: 15 pages, 1 figur
Impurity states of electrons in quantum dots in external magnetic fields
The influence of isolated impurity atoms on the electron energy spectrum in a
parabolic quantum dot in quantizing magnetic field is studied. The impurity
potential is approximated by a Gaussian separable operator which allows one to
obtain the exact solution of the problem. We demonstrate that in the electron
energy spectrum there is a set of local levels which are split from the Landau
zone boundaries in the upward or downward direction depending on the impurity
type. We have calculated the local level positions, the wave functions of
electrons in bound states, and the residues of the electron scattering
amplitudes by impurity atoms at the poles.Comment: 8 pages, 2 figures, to be published in European Physical Journal
QCD factorization for forward hadron scattering at high energies
We consider the QCD factorization of DIS structure functions at small x and
amplitudes of 2->2 -hadronic forward scattering at high energy. We show that
both collinear and k_T-factorization for these processes can be obtained
approximately as reductions of a more general (totally unintegrated) form of
the factorization. The requirement of ultraviolet and infrared stability of the
factorization convolutions allows us to obtain restrictions on the fits for the
parton distributions in k_T- and collinear factorization.Comment: 18 pages, 10 figures In the present version misprints found in the
prevcious version are corrected and some more details are explaine
Factorization and infrared properties of non-perturbative contributions to DIS structure functions
In this paper we present a new derivation of the QCD factorization. We deduce
the k_T- and collinear factorizations for the DIS structure functions by
consecutive reductions of a more general theoretical construction. We begin by
studying the amplitude of the forward Compton scattering off a hadron target,
representing this amplitude as a set of convolutions of two blobs connected by
the simplest, two-parton intermediate states. Each blob in the convolutions can
contain both the perturbative and non-perturbative contributions. We formulate
conditions for separating the perturbative and non-perturbative contributions
and attributing them to the different blobs. After that the convolutions
correspond to the QCD factorization. Then we reduce this totally unintegrated
(basic) factorization first to the k_T- factorization and finally to the
collinear factorization. In order to yield a finite expression for the Compton
amplitude, the integration over the loop momentum in the basic factorization
must be free of both ultraviolet and infrared singularities. This obvious
mathematical requirement leads to theoretical restrictions on the
non-perturbative contributions (parton distributions) to the Compton amplitude
and the DIS structure functions related to the Compton amplitude through the
Optical theorem. In particular, our analysis excludes the use of the singular
factors x^{-a} (with a > 0) in the fits for the quark and gluon distributions
because such factors contradict to the integrability of the basic convolutions
for the Compton amplitude. This restriction is valid for all DIS structure
functions in the framework of both the k_T- factorization and the collinear
factorization if we attribute the perturbative contributions only to the upper
blob.Comment: 19 pages, 6 figure
- …