Abstract
We generalize the computation of anomalous dimension and correction to OPE coefficients at finite conformal spin considered recently in [1, 2] to arbitrary space-time dimensions. By using the inversion formula of Caron-Huot and the integral (Mellin) representation of conformal blocks, we show that the contribution from individual exchanges to anomalous dimensions and corrections to the OPE coefficients for “double-twist” operators \( {\left[{\mathcal{O}}_1{\mathcal{O}}_2\right]}_{\Delta, J} \) in s-channel can be written at finite conformal spin in terms of generalized Wilson polynomials. This approach is democratic with respect to space-time dimensions, thus generalizing the earlier findings to cases where closed form expressions of the conformal blocks are not available.
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Cardona, C., Guha, S., Kanumilli, S.K. et al. Resummation at finite conformal spin. J. High Energ. Phys. 2019, 77 (2019). https://doi.org/10.1007/JHEP01(2019)077
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DOI: https://doi.org/10.1007/JHEP01(2019)077