We present results of a direct calculation of leading power-law corrections to the proton and pion structure functions at large x to order 1Q4 for W2proton and 1Q2 for WLproton and to order 1Q2 for W2pion and WLpion. For W2 we find large (1-x)4 corrections to the leading (1-x)3 behavior as x1 and substantial (1-x)2Q2 corrections, a phenomenologically desirable form. We find a very large value for the coefficient of 1Q2 in (LT)proton. The 1Q2 correction to W2pion is of the form proposed by Berger and Brodsky but much smaller than their estimate after complete normalization constraints are imposed. In addition, this correction is not purely longitudinal until (1-x) is very near zero. © 1984 The American Physical Society
Gunion, J., Nason, P., Blankenbecler, R. (1984). Power-suppressed contributions to deep-inelastic processes. PHYSICAL REVIEW D, 29(11), 2491-2511 [10.1103/PhysRevD.29.2491].
Power-suppressed contributions to deep-inelastic processes
Nason, P;
1984
Abstract
We present results of a direct calculation of leading power-law corrections to the proton and pion structure functions at large x to order 1Q4 for W2proton and 1Q2 for WLproton and to order 1Q2 for W2pion and WLpion. For W2 we find large (1-x)4 corrections to the leading (1-x)3 behavior as x1 and substantial (1-x)2Q2 corrections, a phenomenologically desirable form. We find a very large value for the coefficient of 1Q2 in (LT)proton. The 1Q2 correction to W2pion is of the form proposed by Berger and Brodsky but much smaller than their estimate after complete normalization constraints are imposed. In addition, this correction is not purely longitudinal until (1-x) is very near zero. © 1984 The American Physical Society
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