Polarised deep inelastic scattering accompanied by a forward jet as a probe of the ${\ln }^2(1/x)$ resummation

Abstract

We argue that the production of forward jets in polarised deep inelastic scattering can be a useful tool for probing the double $l{n}^2(1/x)$ resummation effects which control the polarised deep inelastic scattering for small values of the Bjorken parameter $x$. We solve the corresponding integral equations generating the double $l{n}^2(1/x)$ resummation and calculate the differential structure function describing the forward jet production in the small $x$ regime which can possibly be probed by the polarised HERA measurements. We show that these structure functions should exhibit the characteristic increase with decreasing $x/x_J$, where $x_J$ denotes the longitudinal momentum fraction of the parent proton carried by a jet, and we quantify this increase.

13 pages, latex, 5 figures

References in corpus (4)

• Flavor Singlet Contribution to the Structure Function $g_1$ at Small-x
• Regge Asymptotics of Scattering with Flavour Exchange in QCD
• Associated Jet Production at HERA
• Unified description of the non-singlet spin dependent structure function $g_1$ incorporating Altarelli-Parisi evolution and the double logarithmic $l{n}^2(1/x)$ effects at low $x$