https://doi.org/10.1140/epjc/s10052-009-0982-6
Regular Article - Theoretical Physics
Target-mass and finite t corrections to diffractive deep-inelastic scattering
1
Deutsches Elektronen–Synchrotron, DESY, Platanenallee 6, 15738, Zeuthen, Germany
2
Fakultät 1, Brandenburgische Technische Universität Cottbus, PF 101344, 03013, Cottbus, Germany
3
Center for Theoretical Studies and Institute of Theoretical Physics, Leipzig University, Augustusplatz 10, 04109, Leipzig, Germany
* e-mail: johannes.bluemlein@desy.de
Received:
10
December
2008
Revised:
12
February
2009
Published online:
28
March
2009
The quantum field theoretic treatment of inclusive deep-inelastic diffractive scattering given in a previous paper (Blümlein et al. in Nucl. Phys. B 755:112–136, 2006) is discussed in detail using an equivalent formulation with the aim to derive a representation suitable for data analysis. We consider the off-cone twist-2 light-cone operators to derive the target-mass and finite t corrections to diffractive deep-inelastic scattering and deep-inelastic scattering. The corrections turn out to be at most proportional to x|t|/Q 2, xM 2/Q 2, x=x BJ or x ℙ, which suggests an expansion in these parameters. Their contribution varies in size considering diffractive scattering or meson-exchange processes. Relations between different kinematic amplitudes which are determined by one and the same diffractive GPD or its moments are derived. In the limit t,M 2→0 one obtains the results of (Blümlein and Robaschik in Phys. Lett. B 517:222, 2001) and (Blümlein and Robaschik in Phys. Rev. D 65:096002, 2002).
PACS: 24.85.+p – / 13.88.+e – / 11.30.Cp –
© Springer-Verlag , 2009
