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Numerical solution of Q² evolution equations for polarized structure functions

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arxiv hep-ph/9707220 v3 pith:73BJB7PU submitted 1997-07-02 hep-ph hep-exnucl-th

Numerical solution of Q² evolution equations for polarized structure functions

classification hep-ph hep-exnucl-th
keywords equationsevolutionpolarizedfunctionsnumericalstepsstructuredelta
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate numerical solution of Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) Q^2 evolution equations for longitudinally polarized structure functions. Flavor nonsinglet and singlet equations with next-to-leading-order $\alpha_s$ corrections are studied. A brute-force method is employed. Dividing the variables x and Q^2 into small steps, we simply solve the integrodifferential equations. Numerical results indicate that accuracy is better than 1% in the region 10^{-5}<x<0.8 if more than two-hundred Q^2 steps and more than one-thousand x steps are taken. Our evolution results are compared with polarized experimental data of the spin asymmetry A_1 by the SLAC-E130, SLAC-E143, EMC, and SMC collaborations. The comparison indicates that we cannot assume A_1 is independent of Q^2. We provide a FORTRAN program for the Q^2 evolution and devolution of polarized nonsinglet-quark, singlet-quark, Delta q_i+ Delta q-bar_i, and gluon distributions (and corresponding structure functions).

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Cited by 2 Pith papers

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