2016
String-inspired BCJ numerators for one-loop MHV amplitudes
Abstract: We find simple expressions for the kinematic numerators of one-loop MHV amplitudes in maximally supersymmetric Yang-Mills theory and supergravity, at any multiplicity. The gauge-theory numerators satisfy the Bern-Carrasco-Johansson (BCJ) duality between color and kinematics, so that the gravity numerators are simply the square of the gauge-theory ones. The duality holds because the numerators can be written in terms of structure constants of a kinematic algebra, which is familiar from the BCJ organization of s…
View preprint versions
Search citation statements
Paper Sections
Select...
100
17
3
0
Citation Types
1
112
0
0
Year Published
2015
2026
Publication Types
Select...
96
14
3
Relationship
26
87
Authors
Journals
Cited by 114 publications
(113 citation statements)
References 135 publications
1
112
0
0
“…The above result is the same as the following tensors of screenings 38) as was expected for a quantum group. The action of antipode and counit are represented by reversing and removing the contour of a screening respectively.…”
Section: Jhep12(2020)106supporting
confidence: 83%
“…The above result is the same as the following tensors of screenings 38) as was expected for a quantum group. The action of antipode and counit are represented by reversing and removing the contour of a screening respectively.…”
Section: Jhep12(2020)106supporting
confidence: 83%
“…The fact that gauge theory has only one Pfaffian, depending on a set of polarisation vectors ( µ i ), while gravity has two Pfaffians, each depending on a different set of polarisation vectors ( µ i and˜ µ i ), is a clear manifestation of gravity as a 'square' of gauge theory, in agreement with the Kawai-Lewellen-Tye relations [41] and with the Bern-Carrasco-Johansson (BCJ) double copy [42,43]. At loop-level, the BCJ double copy is known to hold at one-loop in a variety of cases, including certain classes of amplitudes at any multiplicity [2,36,[44][45][46], so it is natural to propose that one-loop formulae based on the scattering equations will also exhibit this property. The proposal of [25] is that the super Yang-Mills amplitude is determined by 12…”
Section: Super-yang-mills Theorymentioning
confidence: 57%
“…The skinny graviton can therefore be taken to be equal to the fat graviton. While this result seems to be at odds with (32), recall that they differ only by a gauge transformation (which leaves φ and B µν unaffected at this order) and that the skinny graviton we recover is traceless, as we would expect from eq. ( 30).…”
Section: The Linear Fat Graviton For Schwarzschildmentioning
confidence: 59%
