Abstract
The contributions ∝ n f to the O ( α s 3 ) massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit Q 2 ≫ m 2 are computed for the structure function F 2 ( x , Q 2 ) and transversity for general values of the Mellin variable N. Here, for two matrix elements, A q q , Q PS ( N ) and A q g , Q ( N ) , the complete result is obtained. A first independent computation of the contributions to the 3-loop anomalous dimensions γ q g ( N ) , γ q q PS ( N ) , and γ q q NS , ( TR ) ( N ) is given. In the computation advanced summation technologies for nested sums over products of hypergeometric terms with harmonic sums have been used. For intermediary results generalized harmonic sums occur, while the final results can be expressed by nested harmonic sums only.
Highlights
The heavy flavor corrections to deep-inelastic structure functions amount to large contributions at lower values of the Bjorken variable x
For the structure function F2(x, Q2) the logarithmic and constant contributions are sufficient at the 1%-level to describe the complete result for Q2/m2 10, a region which does well compare to the deep-inelastic region at HERA in which the twist-2 contributions dominate, cf. [6].1. In this limit the Wilson coefficients with nf massless and one massive quark factorize into massive operator matrix elements (OMEs) and the massless Wilson coefficients, as has been shown in Ref. [8]
In the present paper the O(αs3) contributions ∝ nF TF2CF,A are computed for all massive operator matrix elements contributing to the structure function F2(x, Q2) at general values of the Mellin variable N in the fixed flavor number scheme, as well as the corresponding contributions to transversity
Summary
The heavy flavor corrections to deep-inelastic structure functions amount to large contributions at lower values of the Bjorken variable x. In the present paper the O(αs3) contributions ∝ nF TF2CF,A are computed for all massive operator matrix elements contributing to the structure function F2(x, Q2) at general values of the Mellin variable N in the fixed flavor number scheme, as well as the corresponding contributions to transversity. This scheme has to be considered as the genuine scheme in quantum field theoretic calculations since the initial states, the twist-2 massless partons can, at least to a good approximation, be considered as LSZ-states. Some technical details of the calculation are given in Appendix A
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
