Small-x asymptotics of the quark helicity distribution: Analytic results
Citations Over TimeTop 10% of 2017 papers
Abstract
In this Letter, we analytically solve the evolution equations for the small-x asymptotic behavior of the (flavor singlet) quark helicity distribution in the large-Nc limit. These evolution equations form a set of coupled integro-differential equations, which previously could only be solved numerically. This approximate numerical solution, however, revealed simplifying properties of the small-x asymptotics, which we exploit here to obtain an analytic solution. We find that the small-x power-law tail of the quark helicity distribution scales as ΔqS(x,Q2)∼(1x)αh with αh=43αsNc2π, in excellent agreement with the numerical estimate αh≈2.31αsNc2π obtained previously. We then verify this solution by cross-checking the predicted scaling behavior of the auxiliary “neighbor dipole amplitude” against the numerics, again finding excellent agreement.
Related Papers
- Research and Application on Helicity in China(2006)
- Analysis of helicity in a rainstorm in north China(2012)
- Susquehanna Chorale Spring Concert "Roots and Wings"(2017)
- → Helicity amplitude analysis of ψ(3686)→γχcJ→γpp¯(2019)
- THE INNER HELICITY OF PROMINENCE WITH HELICAL STRUCTURE(1999)