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The link between BFKL physics and twist-two operators involves an analyticalcontinuation in the spin of the operators away from the physical even integervalues. Typically this is done only after obtaining an analytical result forinteger spin through nested harmonic sums. In this paper we propose analyticityconditions for the solution of Baxter equation which would work directly forany value of complex spin and reproduce results from the analyticalcontinuation of harmonic sums. We carry out explicit contructions up to 2-looplevel. These nonstandard solutions of the Baxter equation have rathersurprising asymptotics. We hope that these analyticity conditions may be usedfor incorporating them into the exact TBA/FiNLIE/QSC approaches valid at anycoupling.

Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation