Higher Mellin Moments for Charged Current DIS
نویسنده
چکیده
We report on our recent results for deep-inelastic neutrino(ν)-proton(P) scattering. We have computed the perturbative QCD corrections to three loops for the charged current structure functions F2, FL and F3 for the combination νP− ν̄P. In leading twist approximation we have calculated the first six odd-integer Mellin moments in the case of F2 and FL and the first six even-integer moments in the case of F3. As a new result we have obtained the coefficient functions to O(α3 s ) and we have found the corresponding anomalous dimensions to agree with known results in the literature.
منابع مشابه
ar X iv : 0 71 1 . 05 21 v 1 [ he p - ph ] 4 N ov 2 00 7 CC DIS at α 3 s in Mellin - N and Bjorken - x spaces
Third-order results for the structure functions of charged-current deep-inelastic scattering are discussed. New results for 11’th Mellin moment for F ν p−ν̄ p 2,L structure functions and 12’th moment for F ν p−ν̄ p 3 are presented as well as corresponding higher Mellin moments of differences between the respective crossing-even and -odd coefficient functions. Approximations in Bjorken-x space for...
متن کاملCharged current deep-inelastic scattering at three loops
We derive for deep-inelastic neutrino(ν)-proton(P) scattering in the combination νP− ν̄P the perturbative QCD corrections to three loops for the charged current structure functions F2, FL and F3. In leading twist approximation we calculate the first five odd-integer Mellin moments in the case of F2 and FL and the first five even-integer moments in the case of F3. As a new result we obtain the co...
متن کاملImage analysis by orthogonal Fourier-Mellin moments
In this research, an attempt to analyze images with the orthogonal Fourier-Mellin moments is conducted. It leads to the conclusions that the lower order of orthogonal Fourier-Mellin moments primarily contain the fundamental image information; the higher order moments preserve more detailed image information; and each finite set of the moments will contribute individually in the reconstruction p...
متن کاملA determination of αs from scaling violations with truncated moments
We describe a determination of the strong coupling αs(MZ) from scaling violations of the nonsinglet DIS structure function, which is based on two novel techniques aimed at controlling and minimizing the theoretical error: a neural network parametrization of BCDMS and NMC data, and QCD evolution by means of truncated Mellin moments.
متن کاملNext-to-next-to-leading order QCD analysis of DIS structure functions
It is performed for the first time a next-to-next-to-leading order analysis of deep inelastic structure functions F2 and FL using the recently determined first moments of the non-singlet anomalous dimensions and the corresponding Wilson coefficients. From a comparison to BCDMS data we found a slight decrease in the energy scale of perturbative QCD with respect to the next-toleading order analys...
متن کامل