Positivity constraints and flavor dependence of higher twists

Details Positivity constraints and flavor dependence of higher twists Positivity constraints and flavor dependence of higher twists

2000-05-14

arxiv.org/abs/hep-ph/0005132v1

Phys.Lett.B490:106-110,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figures

Scientific paper

10.1016/S0370-2693(00)00972-2

The positivity bound for the transverse asymmetry $A_2$ may be improved and applied for each quark flavor separately. We use it to test the consistency of twist-two approximation for the transverse spin-dependent ($g_T$) and the longitudinal spin-averaged ($F_L$) structure functions. While it is satisfied in the case of $u$ quarks, it might be violated for $d$ quarks in a region of moderate $x$ because of its negative polarization. We attribute this inconsistency to a stronger twist-three contribution, whose existence found by the QCD sum rule method is a long-standing puzzle.

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