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- W4300710879 abstract "We revisit the familiar construction of one-loop scattering amplitudes via generalized unitarity in light of the recently understood properties of loop integrands prior to their integration. We show how in any four-dimensional quantum field theory, the integrand-level factorization of infrared divergences leads to twice as many constraints on integral coefficients than are visible from the integrated expressions. In the case of planar, maximally supersymmetric Yang-Mills amplitudes, we demonstrate that these constraints are both sufficient and necessary to imply the finiteness and dual-conformal invariance of the ratios of scattering amplitudes. We present a novel regularization of the scalar box integrals which makes dual-conformal invariance of finite observables manifest term by term, and describe how this procedure can be generalized to higher loop-orders. Finally, we describe how the familiar scalar boxes at one-loop can be upgraded to `chiral boxes' resulting in a manifestly infrared-factorized, box-like expansion for all one-loop integrands in planar, N=4 super Yang-Mills. Accompanying this note is a Mathematica package which implements our results, and allows for the efficient numerical evaluation of any one-loop amplitude or ratio function." @default.
- W4300710879 created "2022-10-04" @default.
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- W4300710879 date "2013-03-19" @default.
- W4300710879 modified "2023-09-28" @default.
- W4300710879 title "Dual-Conformal Regularization of Infrared Loop Divergences and the Chiral Box Expansion" @default.
- W4300710879 doi "https://doi.org/10.48550/arxiv.1303.4734" @default.
- W4300710879 hasPublicationYear "2013" @default.
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