 
Summary: ANNALS OF PHYSICS 125, 276308 (1980)
The Effect of llQ2 and CL,Corrections on Tests of QCD*
L. F. ABBOTT+ AND R. MICHAEL BARNETT
Stanford Linear Accelerator Center, Stanford Universit.v, Stanford, California 94305
Received May 29, 1979
We discuss in detail the use of the structure function F,(x, Qs) of deepinelastic neutrino
scattering for testing quantum chromodynamics. QCD is entirely consistent with all data.
However, we show that highertwist (order 1/Q2) contributions, which are commonly neglect
ed, can have a dramatic impact on interpretation of this result. At present the data are not
accurate enough to determine the magnitudes of these l/Q2 contributions within the context
of QCD. Furthermore, the possible presence of highertwist terms makes it impossible to
unambiguously detect the logarithmic Qa dependence and anomalous dimensions which
distinguish QCD from hypothetical alternative theories. As a result, more precise data
with higher Qz are needed to provide definitive tests of QCD. The corrections of second
order in (Yeintroduce fewer complications for testing QCD, and provide a useful context for
understanding critical ambiguities in the definitions of (Yeand d.
I. INTRODUCTION
Scaling violations in deepinelastic structure functions provide an important means
of investigating the validity of quantum chormodynamics (QCD) as a theory of the
strong interactions [I]. In deepinelastic scattering processes such as vN+~ +
