Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10724445 | Physics Letters B | 2007 | 4 Pages |
Abstract
We derive evolution equations for the truncated Mellin moments of the parton distributions. We find that the equations have the same form as those for the partons themselves. The modified splitting function for nth moment Pâ²(n,x) is xnP(x), where P(x) is the well-known splitting function from the DGLAP equation. The obtained equations are exact for each nth moment and for every truncation point x0â(0;1). They can be solved with use of standard methods of solving the DGLAP equations. This approach allows us to avoid the problem of dealing with the unphysical region xâ0. Furthermore, it refers directly to the physical values-moments (rather than to the parton distributions), what enables one to use a wide range of deep-inelastic scattering data in terms of smaller number of parameters. We give an example of an application.
Related Topics
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Authors
Dorota Kotlorz, Andrzej Kotlorz,