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Higher-Twist Contribution to Pion Structure Function: 4-Fermi Operators | | S. Capitani
; M. Göckeler
; R. Horsley
; B. Klaus
; V. Linke
; P.E.L. Rakow
; A. Schäfer
; G. Schierholz
; | | Date: |
12 Aug 1999 | | Journal: | Nucl.Phys. B570 (2000) 393-406 | | Subject: | hep-lat hep-ph | | Abstract: | We present quenched lattice QCD results for the contribution of higher-twist operators to the lowest non-trivial moment of the pion structure function. To be specific, we consider the combination $F_2^{pi^+} + F_2^{pi^-} - 2 F_2^{pi^0}$ which has $I = 2$ and receives contributions from 4-Fermi operators only. We introduce the basis of lattice operators. The renormalization of the operators is done perturbatively in the $ar{
m{MS}}$ scheme using the ’t Hooft-Veltman prescription for $gamma_5$, taking particular care of mixing effects. The contribution is found to be of $O(f_pi^2/Q^2)$, relative to the leading contribution to the moment of $F_2^{pi^+}$. | | Source: | arXiv, hep-lat/9908011 | | Services: | Forum | Review | PDF | Favorites | |
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