Subleading strong-coupling corrections to higher EEC multipoles

Derive the subleading terms beyond the leading O(1/λ^{s/2}) contributions in the strong-coupling expansion of the energy–energy correlator multipoles c_s(g) in planar SU(N_c) N=4 super-Yang–Mills theory, in particular for c_3 and c_4, by resolving the divergent sums arising from the noncommuting large-λ expansion and summation, and ascertain whether more complicated coupling-dependent terms appear.

Background

Using the detector–source OPE and recent AdS Virasoro–Shapiro amplitude data, the authors obtain leading strong-coupling behavior c_s ∼ λ^{-s/2} and new results, including subleading corrections for c_2. For c_3 and c_4, leading terms are determined, but subleading corrections encounter divergent sums when expanding at large λ and then summing over trajectories.

This indicates a noncommutativity of limits and suggests potential appearance of more intricate coupling-dependent structures. Resolving these divergences and computing the subleading terms would complete the strong-coupling picture for higher multipoles and clarify the structure of the expansion.