We identify two families of ten-point Feynman diagrams that generalize the elliptic double box, and show that they can be expressed in terms of the same class of elliptic multiple polylogarithms to all loop orders. Interestingly, one of these families can also be written as a dlog form. For both families of diagrams, we provide new 2ℓ-fold integral representations that are linearly reducible in all but one variable and that make the above properties manifest. We illustrate the simplicity of this integral representation by directly integrating the three-loop representative of both families of diagrams. These families also satisfy a pair of second-order differential equations, making them ideal examples on which to develop bootstrap techniques involving elliptic symbol letters at high loop orders.
We describe a new species of salamander of the genus Bolitoglossa from the Cordillera de Talamanca in western Panama. The new species is distinct from its congeners by its dorsal and ventral coloration, finger and toe webbing, and a comparatively high maxillary teeth count in relation to SVL. Analysis of mitochondrial DNA sequences revealed an isolated phylogenetic position of the new species which is related to the B. robinsoni, B. subpalmata and B. epimela species groups, all four of which form a subclade within the subgenus Eladinea.
In this paper we confirm the generalized actions of the complete NLO cubicin-spin interactions for generic compact objects which were tackled first via an extension of the EFT of spinning gravitating objects. The interaction potentials are made up of 6 independent sectors, including a new unique sector that is proportional to the square of the quadrupolar deformation parameter, C ES 2 . We derived the full Hamiltonians in an arbitrary reference frame and in generic kinematic configurations. Using these most general Hamiltonians we find the full Poincaré algebra of all the sectors at the 4.5PN order, including the third subleading spin-orbit sector recently derived within our approach. We also derive the binding energies with gauge-invariant relations useful for gravitational-wave applications. Finally, we derive the extrapolated scattering angles in the aligned-spins case, and we find complete agreement with previous results derived for the scattering of black holes via scattering-amplitudes methods. The completion of the full Poincaré algebra at the 4.5PN order provides a strong validation that this new precision frontier in PN theory has now been established.
We identify two families of ten-point Feynman diagrams that generalize the elliptic double box, and show that they can be expressed in terms of the same class of elliptic multiple polylogarithms to all loop orders. Interestingly, one of these families can also be written as a dlog form. For both families of diagrams, we provide new 2ℓ-fold integral representations that are linearly reducible in all but one variable and that make the above properties manifest. We illustrate the simplicity of this integral representation by directly integrating the three-loop representative of both families of diagrams. These families also satisfy a pair of second-order differential equations, making them ideal examples on which to develop bootstrap techniques involving elliptic symbol letters at high loop orders.
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