Scattering amplitudes of Kaluza-Klein strings and extended massive double-copy

Li, Yao; Hang, Yan-Feng; He, H.; He, Song

doi:10.1007/jhep02(2022)120

Cited by 16 publications

(35 citation statements)

References 50 publications

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“…With these in minds, we have further used a first principle approach of the KK string theory in our recent study [39] to derive the extended massive KLT-like relations between the product of the KK open string amplitudes and the KK closed string amplitude. In the field theory limit, we can derive the exact double-copy relations between the product of the KK gauge boson amplitudes and the KK graviton amplitude at tree level [39]. In such exact double-copy relations, all the relevant helicity indices of the external KK gauge boson states are summed over to match the corresponding polarization tensors of the external KK graviton states.…”

Section: Double-copy Construction Of Kk Amplitudesmentioning

confidence: 99%

Gravitational Equivalence Theorem and Double-Copy for Kaluza-Klein Graviton Scattering Amplitudes

Hang

2022

Research

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We analyze the structure of scattering amplitudes of the Kaluza-Klein (KK) gravitons and of the KK gravitational Goldstone bosons in the compactified 5d general relativity (GR). Using a general Rξ gauge fixing, we study the geometric Higgs mechanism for the massive spin-2 KK gravitons. We newly propose and prove a gravitational equivalence theorem (GRET) to connect the scattering amplitudes of longitudinal KK gravitons to that of the KK gravitational Goldstone bosons, which formulates the geometric gravitational Higgs mechanism at the scatteringS-matrix level. We demonstrate that the GRET provides a general energy cancellation mechanism guaranteeing the N-point longitudinal KK graviton scattering amplitudes to have their leading energy dependence cancelled down by a large power factor of E2NN≥4 up to any loop level. We propose an improved double-copy approach to construct the massive KK graviton (Goldstone) amplitudes from the KK gauge boson (Goldstone) amplitudes. With these, we establish a new correspondence between the two types of energy cancellations in the four-point longitudinal KK amplitudes at tree level: E4⟶E0 in the KK gauge theory and E10⟶E2 in the KK GR theory.

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Section: Double-copy Construction Of Kk Amplitudesmentioning

confidence: 99%

Gravitational Equivalence Theorem and Double-Copy for Kaluza-Klein Graviton Scattering Amplitudes

Hang

2022

Research

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“…Consistent double-copy constraints for massive mediators is a subject of ongoing study [489], including generalizations to topological massive theories in three dimensions, see e.g. [208,209,424,425,427,489,490] and references therein.…”

Section: Generalizing the Double Copy And The Klt Bootstrapmentioning

confidence: 99%

Snowmass White Paper: the Double Copy and its Applications

Adamo¹,

Carrasco²,

González³

et al. 2022

Preprint

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The double copy is, in essence, a map between scattering amplitudes in a broad variety of familiar field and string theories. In addition to the mathematically rich intrinsic structure, it underlies a multitude of active research directions and has a range of interesting applications in quantum, classical and effective field theories, including broad topics such as string theory, particle physics, astrophysics, and cosmology. This Snowmass white paper provides a brief introduction to the double copy, its applications, current research and future challenges.

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“…It was for example found that gauge theories with massive (scalar or fermionic) matter in the fundamental representation can also be double-copied [8][9][10][11][12][13][14], and even theories with spontaneous symmetry breaking obey the CK duality [15]. In addition, the double copy of massive gauge bosons has been considered in [16][17][18][19][20]. Besides gauge theories, a double-copy structure has been observed in pure scalar theories such as the aforementioned bi-adjoint scalar theory and the non-linear sigma model [21,22].…”

Section: Jhep05(2022)042 1 Introductionmentioning

confidence: 99%

The seeds of EFT double copy

Bonnefoy

Durieux

Grojean

et al. 2022

J. High Energ. Phys.

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We explore the double copy of effective field theories (EFTs), in the recently proposed generalized color-kinematics and Kawai-Lewellen-Tye (KLT) approaches. In the former, we systematically construct scalar numerators satisfying the Jacobi identities from simpler numerator seeds with trace-like permutation properties. This construction has the advantage of being easily applicable to any multiplicity, which we exemplify up to 6-point. It employs the linear map between color factors formed by single traces of generators and by products of the structure constants, which 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.

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Scattering amplitudes of Kaluza-Klein strings and extended massive double-copy

Cited by 16 publications

References 50 publications

Gravitational Equivalence Theorem and Double-Copy for Kaluza-Klein Graviton Scattering Amplitudes

Gravitational Equivalence Theorem and Double-Copy for Kaluza-Klein Graviton Scattering Amplitudes

Snowmass White Paper: the Double Copy and its Applications

The seeds of EFT double copy

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