Radiative corrections to the structure functions and sum rules in polarized DIS

The one-loop NLO radiative corrections to the observables in polarized DIS using assumption that a quark is an essential massive particle are considered. If compared with classical QCD formulae the obtained results are identical for the unpolarized and different for polarized sum rules, that can be explained as the influence of the finite quark mass effects on NLO QCD corrections. The explicit expression for one-loop NLO QCD contribution to the structure function g_2 is presented.Comment: 6 pages,1 figure. Talk given at the International Workshop "Symmetry And Spin" - PRAHA-SPIN'9

Gluon Spin in the Nucleon

We study the operator description of the gluon spin contribution ($\Gamma$) to the nucleon's spin as it is measured in deep inelastic processes. $\Gamma$ can be related to the forward matrix element of a local gluon operator in $A^+=0$ gauge. In quark models the nucleon contains ambient color electric and magnetic fields. The latter are thought to be responsible for spin splittings among the light baryons. We show that these fields give rise to a significant {\it negative\/} contribution to $\Gamma$ at the quark model renormalization scale, $\mu_0^2$. The non-Abelian character of QCD is responsible for the sign of $\Gamma$. In a generic non-relativistic quark model $\Gamma_{NQM}=-{8\over 9}{\alpha_{NQM}\over m_q}\langle{1\over r}\rangle$, in the bag model $\Gamma_{bag}=-.1\alpha_{bag}$. These correspond to $\Gamma_{NQM}\approx -0.7$ and $\Gamma_{bag}\approx -0.4$ at $\alpha_{QCD}\approx 1.0$.Comment: 12 pages in REVTeX. The paper has been entirely revise

Errors in Lattice Extractions of alpha_s Due to Use of Unphysical Pion Masses

We investigate the errors due to the use of unphysical values of light quark masses in lattice extractions of $\alpha_s$. A functional form for the pion mass dependence of the quarkonium mass splittings ($\Delta m$) is given as an expansion in $m_\pi/(4\pi f_\pi)$ and $m_\pi r_B$, where $r_B$ is the quarkonium Bohr radius. We find that, to lowest order,$\Delta m\simeq A+B m_\pi^2$, where the scale of $B$ is given by $f_\pi^2 r_B^3$. To order $m_\pi^4$ there are four unknown coefficients, however, utilizing multipole and operator product expansions, symmetry arguments eliminate one of the four unknowns. Using the central values for the lattice spacings which were extracted using two different, unphysical values for the pion mass, we find that the errors introduced by extrapolating to the physical regime are comparable to the errors quoted due to other sources. Extrapolation to physical values of the pion mass {\it increases} the value of $\alpha_s(M_Z)$, bringing its value closer to the high energy extractions.Comment: Version to appear in PLB, with extended discussion and numbers for intermediate values of the pion mas

QCD at high energy (experiments)

Recent measurements of QCD interactions involving large momentum transfers are reviewed. The status of measurements of the strong coupling constant is summarised. Recent developments in the measurement and interpretation of deep inelastic scattering, proton-anti-proton collisions and two-photon processes are discussed. While QCD at next-to-leading order gives a qualitative description of many processes, next-to-NLO calculations are now required to allow quantitative information to be extracted from hadron-initiated multijet data. This is illustrated by a discussion of recent data on the photoproduction of dijet events at HERA.Comment: Talk presented at the $31^{\rm st}$ International Conference on High Energy Physics, Amsterdam, 24-31 July 2002. 18 pages, 30 figure

The Proton Spin in the Chiral Bag Model : Casimir Contribution and Cheshire Cat Principle

The flavor singlet axial charge has been a source of study in the last years due to its relation to the so called {\it Proton Spin Problem}. The relevant flavor singlet axial current is anomalous, i.e., its divergence contains a piece which is the celebrated $U_A(1)$ anomaly. This anomaly is intimately associated with the $\eta^\prime$ meson, which gets its mass from it. When the gauge degrees of freedom of QCD are confined within a volume as is presently understood, the $U_A(1)$ anomaly is known to induce color anomaly leading to "leakage" of the color out of the confined volume (or bag). For consistency of the theory, this anomaly should be canceled by a boundary term. This ``color boundary term" inherits part or most of the dynamics of the volume (i.e., QCD). In this paper, we exploit this mapping of the volume to the surafce via the color boundary condition to perform a complete analysis of the flavor singlet axial charge in the chiral bag model using the Cheshire Cat Principle. This enables us to obtain the hitherto missing piece in the axial charge associated with the gluon Casimir energies. The result is that the flavor singlet axial charge is small independent of the confinement (bag) size ranging from the skyrmion picture to the MIT bag picture, thereby confirming the (albeit approximate) Cheshire Cat phenomenon.Comment: 18 pages, 6 figure

A texture of neutrino mass matrix in view of recent neutrino experimental results

In view of recent neutrino experimental results such as SNO, Super-Kamiokande (SK), CHOOZ and neutrinoless double beta decay $(\beta\beta_{0\nu})$, we consider a texture of neutrino mass matrix which contains three parameters in order to explain those neutrino experimental results. We have first fitted parameters in a model independent way with solar and atmospheric neutrino mass squared differences and solar neutrino mixing angle which satisfy LMA solution. The maximal value of atmospheric neutrino mixing angle comes out naturally in the present texture. Most interestingly, fitted parameters of the neutrino mass matrix considered here also marginally satisfy recent limit on effective Majorana neutrino mass obtained from neutrinoless double beta decay experiment. We further demonstrate an explicit model which gives rise to the texture investigated by considering an $SU(2)_L\times U(1)_Y$ gauge group with two extra real scalar singlets and discrete $Z_2\times Z_3$ symmetry. Majorana neutrino masses are generated through higher dimensional operators at the scale $M$. We have estimated the scales at which singlets get VEV's and M by comparing with the best fitted results obtained in the present work.Comment: Journal Ref.: Phys. Rev. D66, 053004 (2002

What We Can Learn About Nucleon Spin Structure From Recent Data

We have used recent polarized deep-inelastic scattering data from CERN and SLAC to extract information about nucleon spin structure. We find that the SMC proton data, the E142 neutron data and the deuteron data from SMC and E143 give different results for fractions of the spin carried by each of the constituents. These appear to lead to two different and incompatible models for the polarized strange sea. The polarized gluon distribution occuring in the gluon anomaly does not have to be large in order to be consistent with either set of experimental data. However, it appears that the discrepancies in the implications of these data cannot be resolved with any simple theoretical arguments. We conclude that more experiments must be performed in order to adequately determine the fraction of spin carried by each of the nucleon constituents.Comment: 23 page