# TTP10-42 Massless correlators of vector, scalar and tensor currents in position space at orders &alpha;<sub>s</sub><sup>3</sup> and &alpha;<sub>s</sub><sup>4</sup> : explicit analytical results

TTP10-42 Massless correlators of vector, scalar and tensor currents in position space at orders &alpha;<sub

TTP10-42 Massless correlators of vector, scalar and tensor currents in position space at orders &alpha;<sub

s</sub>3 and &alpha;s4 : explicit analytical results > We present analytical results both in momentum and position space for the massless correlators of the vector and scalar currents to order alpha_s^4 as well as for the tensor currents to order alpha_s^3. The evolution equations for the correlators together with all relevant anomalous dimensions are discussed in detail. As an application we present explicit conversion formulas relating the MSbar-renormalized vector, scalar and tensor currents to their counterparts renormalized in the X-space renormalization scheme more appropriate for lattice calculations.

 K. G. Chetyrkin, A. Maier Nucl. Phys. B844 266-288 2011 PDF PostScript arXiv Programs and Data