Non-perturbative corrections to the Drell-Yan transverse momentum distribution

We study non-perturbative corrections to the transverse momentum distributi on of vector bosons in the Drell-Yan process. Factorizing out the Sudakov e ffects due to soft gluons we express their contribution to the distribution in the form of the vacuum averaged Wilson loop operator. We calculate the non-perturbative contribution to the Sudakov form factor using the expansio n of the Wilson loop over vacuum fields supplemented with the expression fo r non-local gauge invariant field strength correlator. Although the Wilson loop is defined in an essentially Minkowski kinematics, the part of the non -perturbative contribution depending on the invariant mass of the produced vector bosons is governed by asymptotics of the correlator at large space-l ike (euclidean) separations and therefore can be calculated using conventio nal non-perturbative methods. Applying the results of lattice calculations we found that the obtained expression for the non-perturbative power correc tions is in qualitative agreement with known phenomenological expressions a t large transverse momenta and deviate from them at small transverse moment a.