/ 06 01 11 7 v 1 1 4 Ja n 20 06 A proof of the reggeized form of amplitudes with quark exchanges ⋆

/ 07 01 14 4 v 1 1 8 Ja n 20 07 Radiative corrections to the Reggeized quark – Reggeized quark – gluon effective vertex ⋆

This paper is devoted to the calculation of the Reggeized quark – Reggeized quark – gluon effective vertex in perturbative QCD in the next–to–leading order. The case of QCD with massless quarks is considered and the correction is obtained in theD → 4 limit. This vertex appears in the quark Reggeization theory, which next–to–leading order extension is now under construction.

ar X iv : h ep - p h / 06 01 20 7 v 1 2 5 Ja n 20 06 Heavy - Quark Form Factors and Threshold Cross Section at O ( α 2 S )

During the last year, analytic expressions for the two-loop QCD corrections to the form factors for the vector, axial-vector, scalar and pseudo-scalar vertices involving a pair of heavy quarks, QQ̄, were calculated. The results are valid for arbitrary momentum transfer and mass of the heavy quarks. These form factors have a number of applications, including anomalous couplings, the e+e− → QQ̄ cro...

Verification of bootstrap conditions for amplitudes with quark exchanges in QMRK

The compatibility of the multi–Regge form of QCD amplitudes in the quasi–multi– Regge kinematics (QMRK) and the s–channel unitarity imposes some constraints on the effective jet–production vertices. We demonstrate that these constraints known as bootstrap conditions are satisfied for the amplitudes with the Reggeized quark exchanges.

ar X iv : m at h / 06 01 74 3 v 1 [ m at h . SP ] 3 0 Ja n 20 06 DETERMINANTS OF ZEROTH ORDER OPERATORS

ar X iv : h ep - p h / 05 01 27 7 v 4 1 2 Ja n 20 06 1 Improvement of the hot QCD pressure by the minimal sensitivity criterion

The principles of minimal sensitivity (PMS) criterion is applied to the perturbative free energy density, or pressure, of hot QCD, which include the ∼ g s ln gs and part of the ∼ g 6 s terms. Applications are made separately to the shortand long-distance parts of the pressure. Comparison with the lattice results, at low temperatures, shows that the resultant “optimal” approximants are substanti...