Abstract
The behaviour of the quark coefficient function for the longitudinal structure function FL in deep-inelastic scattering is investigated for large values of the Bjorken variable x. We combine a highly plausible conjecture on the large-x limit of the physical evolution kernel for this quantity with our explicit three-loop results to derive the coefficients of the three leading large-x logarithms, αs nln2n−1−k(1 − x), k = 1, 2, 3, to all orders in the strong coupling constant αs. Corresponding results are derived for the non-CF part of the gluon coefficient function suppressed by a factor 1 − x, and for the analogous subleading (1 − x)lnk(1 − x) contributions in the quark case. Our results appear to indicate an obstacle for an exponentiation with a higher logarithmic accuracy.
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