KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry

Brown, Robert W.; Naculich, Stephen

doi:10.1007/jhep03(2018)057

Cited by 31 publications

(45 citation statements)

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It also enables the construction from generalized double copy [18,20,21]. It would be interesting to connect the BCJ and KLT relations to those in the S-matrix with fundamental matter [16,[80][81][82][83][84][85] which we leave for future work.…”

Section: Amplitude Relationsmentioning

confidence: 99%

Gravitational radiation from color-kinematics duality

Shen¹

2018

J. High Energ. Phys.

140

118

View full text Add to dashboard Cite

We perturbatively calculate classical radiation in Yang-Mills theory and dilaton gravity, to next-to-leading order in couplings. The radiation is sourced by the scattering of two relativistic massive scalar sources with the dynamical effect taken into account, corresponding to the post-Minkowskian regime in gravity. We show how to arrange the Yang-Mills radiation such that the duality between color and kinematics is manifest, including the three-term Jacobi identity. The search for duality-satisfying expressions exploits an auxiliary bi-adjoint scalar theory as a guide for locality. The double copy is obtained by replacing the color factors in Yang-Mills with kinematic counterparts, following Bern-Carrasco-Johansson construction in S-matrix. On the gravity side, the radiation is directly computed at the third post-Minkowskian order with massive sources. We find perfect agreement between observables in dilaton gravity and the Yang-Mills double copy. This non-trivially generalizes the leading-order rules by Goldberger and Ridgway. For the first time, the kinematic Jacobi identity appears beyond field-theory S-matrix, suggesting that the color-kinematics duality holds more generally. Our results offer a path for simplifying analytical calculations in post-Minkowskian regime.

show abstract

Section: Amplitude Relationsmentioning

confidence: 99%

Gravitational radiation from color-kinematics duality

Shen¹

2018

J. High Energ. Phys.

140

118

View full text Add to dashboard Cite

show abstract

“…More details will be given in section 2.4. Among other things, amplitudes of such bi-color scalars play an important role for KLT-type double copy relations for QCD amplitudes [8,9], just as the original KLT relations have the bi-adjoint φ 3 amplitudes as the central object [10,11]. In this paper, we initiate systematic studies of a geometric picture for amplitudes with (anti-)fundamental particles by considering tree amplitudes of the bi-color scalar theory.…”

Section: Jhep06(2020)030mentioning

confidence: 99%

“…, since more general cases can be viewed as the intersection of diagonal cases [8,[11][12][13]. In the special case with only bi-adjoint particles, the amplitude is given by the sum of all (Catalan number of) planar cubic tree graphs, which contain all n(n−3)/2 planar variables since there is no restriction from flavor structures.…”

Section: Jhep06(2020)030mentioning

confidence: 99%

“…We call an f-af pair (l, r) adjacent in α if there exists an i that α(i) = l and α(i + 1) = r. The orderings given in eq. (2.15) can thus be written as [ (1,2,3), (4,5,6)] and [ (1, (2, 3), 4, 5), (6,7,8)]. In the second ordering, the f-af pair (2, 3) is adjacent.…”

Section: Color Ordered Amplitudes With Both Adjoint and Fundamental Pmentioning

confidence: 99%

“…which is the desired factorization behavior that leads to a direct product geometry A L ×A R on the facet X l 1 ,lm = 0 of A. We close this section by the explicit example of constructing the subspace constraints for α = [(1, 2), (3, (4, 5), 6, 7), (8,9,10,11)]. Since the last block (8, 9, 10, 11) is an f-af block with substructures, we use eq.…”

Section: Jhep06(2020)030mentioning

confidence: 99%

See 2 more Smart Citations

On positive geometry and scattering forms for matter particles

Herderschee

Teng

et al. 2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We initiate the study of positive geometry and scattering forms for treelevel amplitudes with matter particles in the (anti-)fundamental representation of the color/flavor group. As a toy example, we study the bi-color scalar theory, which supplements the bi-adjoint theory with scalars in the (anti-)fundamental representations of both groups. Using a recursive construction we obtain a class of unbounded polytopes called open associahedra (or associahedra with certain facets at infinity) whose canonical form computes amplitudes in bi-color theory, for arbitrary number of legs and flavor assignments. In addition, we discuss the duality between color factors and wedge products, or "color is kinematics", for amplitudes with matter particles as well.

show abstract

Double Copy from Homotopy Algebras

Borsten

Kim

Jurčo

et al. 2021

Fortschritte der Physik

100

View full text Add to dashboard Cite

We show that the BRST Lagrangian double copy construction of N=0 supergravity as the ‘square’ of Yang–Mills theory finds a natural interpretation in terms of homotopy algebras. We significantly expand on our previous work arguing the validity of the double copy at the loop level, and we give a detailed derivation of the double‐copied Lagrangian and BRST operator. Our constructions are very general and can be applied to a vast set of examples.

show abstract

KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry

Cited by 31 publications

References 62 publications

Gravitational radiation from color-kinematics duality

Gravitational radiation from color-kinematics duality

On positive geometry and scattering forms for matter particles

Double Copy from Homotopy Algebras

Contact Info

Product

Resources

About