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We measure two higher-order power spectra involving weighted cubic andsquared temperature anisotropy maps from WMAP 5-year data to study thetrispectrum generated by primordial non-Gaussianity. Using these measurementscombined with Gaussian and noise simulations, we constrain the cubic ordernon-Gaussianity parameters \tau_{NL}, and g_{NL}. With V+W-band data out tol_{max}=600, we find -7.4 < g_{\rm NL}/10^5 < 8.2 and -0.6 < \tau_{\rm NL}/10^4< 3.3 improving the previous COBE-based limit on \tau_{\rm NL} < 10^8 nearlyfour orders of magnitude with WMAP. We find that the ratio of trispectrum tobispectrum amplitude as captured by the ratio of \tau_{\rm Nl}/(6f_{\rmNL}/5)^2 ranges from -3 to 21 at the 95% confidence level.

A Measurement of Cubic-Order Primordial Non-Gaussianity (g_{NL} and \tau_{NL}) With WMAP 5-Year Data