Two-Loop Six Gluon All-Plus Helicity Amplitude

Dunbar, David C.; Perkins, Warren B.

doi:10.1103/physrevlett.117.061602

Cited by 44 publications

(60 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We then ask that this quantity have a well-defined collinear limit. As in the NMHV case, there is a unique solution to this constraint, this time through four loops, as reported in the last line of table 3; this unique solution must be the symbol of E (L) 7 . Our results can be downloaded in computer-readable files from [74].…”

Section: Jhep02(2017)137mentioning

confidence: 99%

“…Aspects of this approach have been applied to theories such as quantum chromodynamics at one loop [2][3][4] and more recently at two loops [5][6][7]. However, the most powerful applications to date have been to the planar limit of N = 4 super-YangMills (SYM) theory in four dimensions [8,9].…”

Section: Jhep02(2017)137mentioning

confidence: 99%

“…(with no restrictions on the final entry) to the known answer E (L) 7 and see whether we can preserve the conditions of dihedral symmetry and good collinear behavior. We can ask this question through three loops, because we have a complete basis of Steinmann heptagon symbols up to (and beyond) weight six.…”

Section: Let Us Consider Adding General L-loop Steinmann Heptagon Symmentioning

confidence: 99%

See 2 more Smart Citations

Heptagons from the Steinmann cluster bootstrap

Dixon

Drummond

Harrington

et al. 2017

J. High Energ. Phys.

165

312

View full text Add to dashboard Cite

Abstract:We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar N = 4 supersymmetric Yang-Mills theory, making higher-loop contributions to these amplitudes more computationally accessible. In particular, dual superconformal symmetry and well-defined collinear limits suffice to determine uniquely the symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We also show that at three loops, relaxing the dual superconformal (Q) relations and imposing dihedral symmetry (and for NMHV the absence of spurious poles) leaves only a single ambiguity in the heptagon amplitudes. These results point to a strong tension between the collinear properties of the amplitudes and the Steinmann relations.

show abstract

Section: Jhep02(2017)137mentioning

confidence: 99%

Section: Jhep02(2017)137mentioning

confidence: 99%

Section: Let Us Consider Adding General L-loop Steinmann Heptagon Symmentioning

confidence: 99%

See 1 more Smart Citation

Heptagons from the Steinmann cluster bootstrap

Dixon

Drummond

Harrington

et al. 2017

J. High Energ. Phys.

165

312

View full text Add to dashboard Cite

show abstract

“…Some of the early results started with the computation of integrands for fixed number of legs, [144], which were later extended to arbitrary multiplicity, [9, 119, 145, JHEP06 (2017)059 146]. In pure Yang-Mills, explicit results for all plus amplitudes up to six points are also available [147][148][149][150][151], see also work on numerical unitarity methods at two loops [108].…”

Section: Prescriptive Unitarity At Two Loops (Redux)mentioning

confidence: 99%

Prescriptive unitarity

Bourjaily

Herrmann

Trnka

2017

J. High Energ. Phys.

116

View full text Add to dashboard Cite

We introduce a prescriptive approach to generalized unitarity, resulting in a strictly-diagonal basis of loop integrands with coefficients given by specifically-tailored residues in field theory. We illustrate the power of this strategy in the case of planar, maximally supersymmetric Yang-Mills theory (SYM), where we construct closed-form representations of all (n-point N k MHV) scattering amplitudes through three loops. The prescriptive approach contrasts with the ordinary description of unitarity-based methods by avoiding any need for linear algebra to determine integrand coefficients. We describe this approach in general terms as it should have applications to many quantum field theories, including those without planarity, supersymmetry, or massless spectra defined in any number of dimensions.

show abstract

“…Beyond five-point only a few amplitudes are known. The leading in color all-plus amplitudes have been computed using our methodology for six-gluons [15] and seven gluons [16]. In ref.…”

Section: Introductionmentioning

confidence: 99%