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\section{\usemenu{slacpub7166::context::slacpub7166001}{Introduction}}\label{section::slacpub7166001}
There are several higher dimensional operators that can be used to
evaluate structure from a theory beyond the standard
model\cite{1}. In this paper we use the timehonored anomalous
magnetic moment as the indicator
\cite{2,3,4,5}, applied
to the quarkgluon vertex, or the anomalous chromomagnetic moment.
Several papers have been written analyzing the contribution of such a
moment to the top production cross
section\cite{6,7,8,9,10}. In this paper, we
assume such a moment could apply to any or all of the mainly
annihilated, scattered or produced quarks other than the top quark.
The results of this will be different from those of the fourFermion
contact interaction operators, and should also be included in
evaluations of possible structure. Along with the exchange of a spin
3/2 excited quark state\cite{11}, the $E_T$ dependence and angular
twojet behavior could help further limit or establish a composite
mechanism, or new interactions from higher mass scales. The same
theory that gives an anomalous chromomagnetic moment may also give a
fourFermion contact interaction, but here we only analyse the
anomalous moment mechanism in a general context. For a complete
analysis of all color current contributions in a particular model, we
refer to the recent analysis of the Minimal Supersymmetric Standard
Model\cite{12}. The key point in our analysis is that the
anomalous moment term $\kappa' \sigma_{\mu\nu} q^\nu$, when compared
to the Dirac current $\gamma_\mu$, grows at high $E_T$ as ${\cal
O}(\kappa' E_T)$.
In the top production papers, gluon fusion or quark fusion to a
virtual gluon are calculated to produce the $t\bar{t}$ pair. Here we
include all quark gluon hadronic processes since quarks commonly
present in protons and antiprotons could have the small anomalous moments.
Since nexttoleading order QCD corrections have not been calculated
for this general set of anomalous moment processes, to compare with
the data we follow the CDF\cite{13,14} procedure of calculating the
ratio of the theory with structure divided by lowest order QCD and
comparing it with the ratio of data divided by NLO QCD. We find that
an anomalous chromomagnetic coefficient $\kappa'=\kappa/(2
m_q)=1.0$ TeV$^{1}$ fits the CDF rise, and would be roughly upper
bounded by $1.3$ TeV$^{1}$, and lower bounded by $0.7$ TeV$^{1}$.
The central value for the rise in CDF is not directly supported by the
D0\cite{15} data, but is within the one sigma systematic energy
calibration error curve for D0, which rises to 120\% at $E_T = 450$
GeV.
We use $\kappa'$ since in the general case the internal diagram or
dynamics might not involve the light external quark, and a new physics
model calculation will give $\kappa'$ directly. The use of the
breakup into a vector current ($\gamma_\mu$) and an anomalous
chromomagnetic moment term ($i\kappa'\sigma_{\mu \nu}$) includes all
anomalous moment vertex corrections in $\kappa'$ including those of
QCD. However, at the very large momentum transfers we are considering
here, there are form factors on the QCD vertex corrections making up
the anomalous chromomagnetic moment either for virtual gluons or for
high $E_T$ virtual quarks (``sidewise form factors''\cite{16})
which will damp like ($\kappa'_{\text{QCD}} \approx {\cal
O}(m_q/p^2_\perp)$) and become irrelevant. At some $q^2$ the
anomalous moment from new or composite interactions will also evidence
a form factor. That is automatically included in the analysis by
considering $\kappa'(q^2)$ a function of $q^2$, but in the comparison
to the data we do not need to invoke that dependence yet. We test
whether an anomalous magnetic moment equal to the anomalous
chromomagnetic moment possibly indicated here would be in conflict
with the $\Gamma_{\text{had}}$ accuracy at LEP, and find it would not
be.
Due to discrepancies in the total hadronic cross sections for charm
and bottom production at LEP and SLD, $R_c$ and $R_b$, we also find a
separate range for either the charm or bottom quark only having an
anomalous chromomagnetic moment, using the quarkantiquark production
cross sections. The range for the CDF data is $\kappa'_{b,c} = 3.5 \pm 1$
TeV$^{1}$. We note that if the $R_b$ discrepancy is accounted for by
an anomalous magnetic moment, it is the same order of magnitude as the
anomalous chromomagnetic moment found here. $A^b_{\text{FB}}$ is not
inconsistent with this interpretation and rules out one of two
possible anomalous magnetic moment values. For comparison with
results from the top quark total cross section from
Ref.~\cite{8}, we note from their Fig. 3, using present CDF and
D0 data on $\sigma_{\text{top}}$, that $0 \leq \kappa^g_t \leq 0.35$.
This corresponds to $0 \leq \kappa^{\prime g}_t \leq 1$ TeV$^{1}$,
and is better than the inclusive jet limits for the $b$ or $c$ quark
alone calculated here.
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