Prescriptive Unitarity in Non-Planer Theory
Open Access
- Author:
- Zhang, Yaqi
- Graduate Program:
- Physics
- Degree:
- Doctor of Philosophy
- Document Type:
- Dissertation
- Date of Defense:
- February 21, 2024
- Committee Members:
- Mauricio Terrones, Program Head/Chair
Murat Gunaydin, Major Field Member
Radu Roiban, Major Field Member
Nigel Higson, Outside Unit & Field Member
Jacob Bourjaily, Chair & Dissertation Advisor - Keywords:
- amplitude
double copy
N = 4 supersymmetric Yang–Mills theory
N=8 supergravity theory
NkMHV
two loop
MHV
six point
non planar theory
leading singularity
integrand basis
triangle power countingamplitude
double copy
N = 4 supersymmetric Yang–Mills theory
N=8 supergravity theory
NkMHV
two loop
MHV
six point
non planar theory
leading singularity
integrand basis
triangle power countingamplitude
double copy
N = 4 supersymmetric Yang–Mills theory
N=8 supergravity theory
NkMHV
two loop
MHV
six point
non planar theory
leading singularity
integrand basis
triangle power counting
amplitude
double copy
N = 4 supersymmetric Yang–Mills theory
N=8 supergravity theory
NkMHV
two loop
MHV
six point
non planar theory
leading singularity
integrand basis
triangle power counting - Abstract:
- We construct all NkMHV six-particle amplitude integrands in color-dressed, maximally supersymmetric Yang-Mills theory at two loops in a single prescriptive basis of master integrands. We outline the concrete steps involved in building prescriptive master integrand bases for scattering amplitudes beyond the planar limit. We highlight the role of contour choices in such bases, and illustrate the full process by constructing a complete, triangle power-counting basis at two loops for six particles. We show how collinear contour choices can be used to divide integrand bases into separately finite and divergent subspaces, and how double-poles can be used to further subdivide these spaces according to (transcendental) weight. We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying the recursive scheme leads to a wide variety of distinct, but equally valid representations of gravitational amplitudes, all realized as double-copies.