Color-Kinematics Duality and Sudakov Form Factor at Five Loops

摘要: Using color-kinematics duality, we construct for the first time the full integrand of the five-loop Sudakov form factor in N = 4 super-Yang-Mills theory, including non-planar contributions. This result also provides a first manifestation of the color-kinematics duality at five loops. The integrand is explicitly ultraviolet finite when D < 26/5, coincident with the known finiteness bound for amplitudes. If the double-copy method could be applied to the form factor, this would indicate an interesting ultraviolet finiteness bound for N = 8 supergravity at five loops. The result is also expected to provide an essential input for computing the five-loop non-planar cusp anomalous dimension.