Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-09-12
Physics
High Energy Physics
High Energy Physics - Phenomenology
Talk at the QCD Evolution workshop: from collinear to non collinear case. April 8-9, 2011, Jefferson Lab, Newport News, Virgin
Scientific paper
A new analytical method of performing ERBL evolution is described. The main goal is to develop an approach that works for distribution amplitudes that do not vanish at the end points, for which the standard method of expansion in Gegenbauer polynomials is inefficient. Two cases of the initial DA are considered: a purely flat DA, given by the same constant for all x, and an antisymmetric DA given by opposite constants for x <1/2 and x>1/2. For a purely flat DA, the evolution is governed by an overall (x (1-x))^t dependence on the evolution parameter t times a factor that was calculated as an expansion in t. For an antisymmetric flat DA, an extra overall factor |1-2x|^{2t} appears due to a jump at x=1/2. A good convergence was observed in the t < 1/2 region. For larger t, one can use the standard method of the Gegenbauer expansion.
Radyushkin Anatoly V.
Tandogan Asli
No associations
LandOfFree
Method of Analytic Evolution of Flat Distribution Amplitudes in QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Method of Analytic Evolution of Flat Distribution Amplitudes in QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Method of Analytic Evolution of Flat Distribution Amplitudes in QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-60496