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The dimension-shift conjecture for one-loop amplitudes
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DOI：10.1007/JHEP04(2021)276.png)
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Abstract
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A conjecture made by Bern, Dixon, Dunbar, and Kosower asserts a simple dimension shifting relationship between the one-loop structure of N = 4 MHV amplitudes and all-plus helicity amplitudes in pure Yang-Mills theory. We prove this conjecture to all orders in dimensional regularisation using unitarity cuts, and evaluate the form of these simplest one-loop amplitudes using a generalised D-dimensional unitarity technique which captures the full amplitude to all multiplicities.
Keywords:
Scattering Amplitudes
Supersymmetric Gauge Theory
Gauge Symmetry
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