Asymptotic 3-loop heavy flavor corrections to the charged current structure functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$

We derive the massive Wilson coefficients for the heavy flavor contributions to the nonsinglet charged current deep-inelastic scattering structure functions FLW+(x,Q2)-FLW-(x,Q2) and F2W+(x,Q2)-F2W-(x,Q2) in the asymptotic region Q2≫m2 to 3-loop order in quantum chromodynamics at general values of the Mellin variable N and the momentum fraction x. Besides the heavy quark pair production, also the single heavy flavor excitation s→c contributes. Numerical results are presented for the charm quark contributions, and consequences on the unpolarized Bjorken sum rule and Adler sum rule are discussed.

Note:

27 pages, 8 figures

charged current
deep inelastic scattering: structure function
structure function: correction
quantum chromodynamics: correction
correction: higher-order
higher-order: 3
quantum chromodynamics: sum rule
sum rule: Bjorken
Mellin transformation
heavy quark: pair production

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Asymptotic 3-loop heavy flavor corrections to the charged current structure functions FLW+−W−(x,Q2)F_L^{W^+-W^-}(x,Q^2)FLW+−W−​(x,Q2) and F2W+−W−(x,Q2)F_2^{W^+-W^-}(x,Q^2)F2W+−W−​(x,Q2)

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Asymptotic 3-loop heavy flavor corrections to the charged current structure functions $F_L^{W^+-W^-}(x,Q^2)$ and $F_2^{W^+-W^-}(x,Q^2)$