[Submitted on 16 Mar 2017] (cross-list from hep-ph)
Small- Asymptotics of the Quark Helicity Distribution: Analytic Results
Yuri V. Kovchegov🇺🇸 · Daniel Pitonyak🇺🇸 · Matthew D. Sievert🇺🇸
In this Letter, we analytically solve the evolution equations for the small- asymptotic behavior of the (flavor singlet) quark helicity distribution in the large- 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- asymptotics, which we exploit here to obtain an analytic solution. We find that the small- power-law tail of the quark helicity distribution scales as with , in excellent agreement with the numerical estimate 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.
- Comments:
- 5 pages, 2 figures
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 1703.05809 [pdf]