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We study the next-to-leading gluon exchange in the high-energy scatteringthat contributes to the amplitude to order $s^0$ up to logarithmic corrections.Similar to the leading gluon exchange these contribution can be described interms of reggeon exchanges. There are several gluonic reggeons at thenext-to-leading level. Some of them transfer parity or gauge grouprepresentation different from the leading gluonic reggeon. Unlike the leadingone they are sensitive to the helicity and transverse momenta of the scatteringpartons. We extend the high-energy effective action and derive from the actionof gluodynamics the terms describing the next-to-leading reggeons and theirinteraction in the multi-Regge approximation.Comment: 31 pages in LATEX, 4 eps figures, references adde

Next-to-leading gluonic Reggeons in the high-energy effective action