Abstract
We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function F2(x,Q2) in the asymptotic region Q2≫m2 and the associated operator matrix element Aqq,Q(3),NS(N) to 3-loop order in Quantum Chromodynamics at general values of the Mellin variable N. This matrix element is associated with the vector current and axial vector current for the even and the odd moments N, respectively. We also calculate the corresponding operator matrix elements for transversity, compute the contributions to the 3-loop anomalous dimensions to O(NF) and compare to results in the literature. The 3-loop matching of the flavor non-singlet distribution in the variable flavor number scheme is derived. All results can be expressed in terms of nested harmonic sums in N space and harmonic polylogarithms in x-space. Numerical results are presented for the non-singlet charm quark contribution to F2(x,Q2).
Highlights
The heavy flavor corrections to the structure functions in unpolarized deep-inelastic scattering yield large contributions in particular in the range of small values of the Bjorken variable x
Due to the current precision of the world deep-inelastic data which amounts for the structure function F2(x, Q2) to O(1%) in a wide kinematic range, for the precision determination of the parton distributions [1], the strong coupling constant αs(MZ2 ) [2] and of the mass of the charm quark mc [3], the heavy flavor corrections have to be known at 3-loop order
At 3-loop order, a series of Mellin moments has been calculated for the Wilson coefficients contributing to the structure function F2(x, Q2) in [16] and for transversity in [17]
Summary
The heavy flavor corrections to the structure functions in unpolarized deep-inelastic scattering yield large contributions in particular in the range of small values of the Bjorken variable x. At 3-loop order, a series of Mellin moments has been calculated for the Wilson coefficients contributing to the structure function F2(x, Q2) in [16] and for transversity in [17]. We calculate the massive flavor non-singlet Wilson coefficient contributing to the structure function F2(x, Q2) in the asymptotic region to 3-loop order and the associated massive operator matrix element A(q3q),,QNS(N ). The latter quantity is given for odd moments, which applies to the non-singlet contribution of the structure function g1(x, Q2) as well as the charged current structure functions. In Appendices A–C we present a series of master integrals used in the present calculation and summarize the corresponding representations in x-space
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
