The dimension-shift conjecture for one-loop amplitudes

2020/11/30 by Ruth Britto, Guy R. Jehu, Andrea Orta · 6 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Conjecture #Dimension (graph theory) #Helicity #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Simple (philosophy) #Unitarity #hep-th

paper · pdf · doi:10.1007/jhep04(2021)276

published in Journal of High Energy Physics 2021(4) (Springer Nature) · 31 pages excluding citations

openalex created_date 2020/12/07 · openalex publication_date 2021/04/01 · arxiv created 2021/04/20 · arxiv updated 2021/05/19 · openalex updated_date 2026/08/05

Abstract

A bstract A conjecture made by Bern, Dixon, Dunbar, and Kosower asserts a simple dimension shifting relationship between the one-loop structure of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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.

Citations

• Self-dual sector of QCD amplitudes
• One-loop self-dual and N = 4 super Yang-Mills
• Compact Multigluonic Scattering Amplitudes with Heavy Scalars and Fermions
• Direct extraction of one-loop integral coefficients
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Masses, fermions and generalized D-dimensional unitarity
• Amplitude forN-Gluon Superstring Scattering