Abstract
The maximally helicity violating (MHV) amplitudes of \( \mathcal{N}=4 \) super Yang-Mills theory at strong coupling are obtained by solving auxiliary thermodynamic Bethe ansatz (TBA) integral equations. We consider a limit where the TBA equations are linearized for large chemical potentials and masses therein. By solving the linearized equations, we derive analytic expansions of the 6-point MHV amplitudes in terms of the ratio of the chemical potential A and the mass M . The expansions are valid up to corrections exponentially small in A or inversely proportional to powers of A. The analytic expansions describe the amplitudes for small conformal cross-ratios of the particle momenta in a standard basis, and interpolate the amplitudes with equal cross-ratios and those in soft/collinear limits. The leading power corrections are also obtained analytically. We compare the 6-point rescaled remainder functions at strong coupling and at 2 loops for the above kinematics. They are rather different, in contrast to other kinematic regions discussed in the literature where they are found to be similar to each other.
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Ito, K., Satoh, Y. & Suzuki, J. MHV amplitudes at strong coupling and linearized TBA equations. J. High Energ. Phys. 2018, 2 (2018). https://doi.org/10.1007/JHEP08(2018)002
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DOI: https://doi.org/10.1007/JHEP08(2018)002