Generalizations of the double-copy: the KLT bootstrap

Chi, Huan-Hang; Elvang, Henriette; Herderschee, Aidan; Jones, Callum R. T.; Paranjape, Shruti

doi:10.1007/jhep03(2022)077

Cited by 36 publications

(65 citation statements)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moving on to 5-point amplitudes in Sec. 6, we demonstrate that the lowest-order bootstrap solutions provided in [35], can be reproduced from our numerator construction. We also present partial results suggesting that no new double copies are generated by the generalized kernel at 5-point either.…”

mentioning

confidence: 53%

“…We start with a review on the generalized KLT method of [35] and the generalized numerator method of [33,34].…”

Section: The Systematic Double Copy Of Eftsmentioning

confidence: 99%

“…Two more systematic approaches to study the range of higher-derivative operators that can be double-copied have recently been proposed by Carrasco, Rodina, Yin, Zekioglu [33,34] and Chi, Elvang, Herderschee, Jones, Paranjape [35]. In the former, the color-kinematics approach to the double copy is taken and extended by considering generalized numerators that may simultaneously depend on both color and kinematics, while still satisfying Jacobilike identities.…”

mentioning

confidence: 99%

“…In the approach taken by [35], the KLT kernel is generalized. The initial observation is that the map between open-and closed-string amplitudes involves a kernel with higherderivative corrections, which is the inverse matrix of the color-ordered amplitudes in a bi-adjoint EFT with operator coefficients correlated in a specific way [36].…”

mentioning

confidence: 99%

“…At 4-point, we show that the double-copy amplitudes obtained with a generalized KLT kernel can equivalently be achieved by the traditional kernel, multiplying healthy local input amplitudes including higher-derivative corrections. As emphasised in [35], the generalized kernel does however allow for more general EFT inputs to the double copy. We report on various results which indicate that this observation extends to higher multiplicities.…”

mentioning

confidence: 99%

See 4 more Smart Citations

The seeds of EFT double copy

Bonnefoy,

Durieux,

Grojean

et al. 2021

Preprint

View full text Add to dashboard Cite

We explore the double copy of effective field theories (EFTs), both in the (generalized) color-kinematics and Kawai-Lewellen-Tye (KLT) approaches. In the former, we define the linear map between color factors formed by single traces of generators and by products of the structure constants. It enables us to systematically construct scalar numerators satisfying the Jacobi identities from simpler numerator seeds with trace-like permutation properties, with the advantage that this construction easily applies to any multiplicity. This map also relates the generalized KLT and color-kinematics formalisms, allowing to produce KLT kernels at arbitrary order in the EFT expansion. At 4-point, we show that all EFT kernels are generated and that they only yield double-copy amplitudes which can also be obtained from the traditional KLT kernel. We perform initial checks suggesting that the same conclusions also hold at 5-point. We focus on single-trace massless scalar EFTs which however also control the higher-derivative corrections to gauge and gravity theories.

show abstract

mentioning

confidence: 53%

“…We start with a review on the generalized KLT method of [35] and the generalized numerator method of [33,34].…”

Section: The Systematic Double Copy Of Eftsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

The seeds of EFT double copy

Bonnefoy,

Durieux,

Grojean

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

Even-point multi-loop unitarity and its applications: exponentiation, anomalies and evanescence

Carrasco,

Pavao

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We identify novel structure in newly computed multi-loop amplitudes and quantum actions for even-point effective field theories, including both the nonlinear sigma model (NLSM) and double-copy gauge theories such as Born-Infeld and its supersymmetric generalizations. We exploit special properties of all even-point theories towards establishing an efficient unitarity based amplitude construction. In doing so, we find evidence that the leading IR divergence of NLSM amplitudes exponentiates when the target space is $$ \mathbbm{CP} $$ CP 1 ≅ SU(2)/U(1). We then systematically compute the two-loop anomalous behavior of Born-Infeld, and find that the counterterms needed to restore U(1) invariant behavior at loop-level can be constructed via a symmetric-structure double-copy. We also demonstrate that the divergent part of the one-minus (−+++) two-loop anomaly vanishes upon introducing an evanescent operator. In addition to these purely photonic counterterms, we verify through explicit calculation that the anomalous matrix elements that violate U(1) duality invariance can be alternatively cancelled by summing over internal $$ \mathcal{N} $$ N = 4 DBIVA superfields. Finally we find that $$ \mathcal{N} $$ N = 4 Dirac-Born-Infeld-Volkov-Akulov (DBIVA) amplitudes admit double-copy construction through two-loop order by reproducing our unitarity based result with a double copy between color-dual $$ \mathcal{N} $$ N = 4 super-Yang-Mills and our two-loop NLSM amplitudes. This result supports the possibility of color-dual representations for NLSM beyond one-loop. We conclude with an overview of how D-dimensional four-photon counterterms can be constructed in generality with the symmetric-structure double-copy, and outline a convenient way of counting evanescent operators using Hilbert series as generating functions.

show abstract

On extended supersymmetry of 4d Galileons and 3-brane effective actions

Elvang

Mitchell

2023

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We use on-shell amplitude methods to systematically analyze the possibility of extended supersymmetry for 4d Galileon models, expanding on previous $$ \mathcal{N} $$ N = 1 results. Assuming spins ≤ 1, we prove that there exists no $$ \mathcal{N} $$ N = 4 supersymmetric extension of 4d Galileons with a single vector multiplet. Thus the Galileons cannot be part of the effective action of a single flat maximally supersymmetric D3-brane, and that explains why such terms do not appear in the α′-expansion of the abelian open superstring amplitude. For $$ \mathcal{N} $$ N = 2 Galileons, we show that the complex scalar Z = ϕ + iχ of the vector supermultiplet cannot have ϕ and χ both enjoy enhanced shift symmetry; instead, χ can at best be an R-axion with constant shift symmetry. Using the soft bootstrap, we demonstrate that the quartic DBI-Galileon is incompatible with $$ \mathcal{N} $$ N = 2 supersymmetry. A similar analysis performed at 7-point shows that a 2-parameter family of $$ \mathcal{N} $$ N = 2 supersymmetric quintic Galileons coupled with DBI passes the soft bootstrap. Finally, we show how supersymmetric couplings between Galileons and gravitons arise in generalizations of our constructions, and we conclude with a discussion of Galileons and DBI-Galileons in the context of UV-completability vs. the Swampland.

show abstract

Generalizations of the double-copy: the KLT bootstrap

Cited by 36 publications

References 76 publications

The seeds of EFT double copy

The seeds of EFT double copy

Even-point multi-loop unitarity and its applications: exponentiation, anomalies and evanescence

On extended supersymmetry of 4d Galileons and 3-brane effective actions

Contact Info

Product

Resources

About