Aspects of high energy scattering

White, Chris D.

doi:10.21468/scipostphyslectnotes.13

Cited by 11 publications

(16 citation statements)

References 137 publications

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“…The latter is also the superlative reference for BCJ duality, the double-copy and their applications more generally. For students starting out in this subject, or those coming from outside the amplitudes community, [44,49,[145][146][147][148] provide excellent introductions, the latter two with one eye on BCJ duality the double-copy from the outset. For a broader, rather inspirational, early account of "gravity = gauge × gauge" and its potential implications for perturbative quantum gravity see [149].…”

Section: Outlinementioning

confidence: 99%

Gravity as the square of gauge theory: a review

Borsten

2020

Riv. Nuovo Cim.

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We briefly review the manifold incarnations and facets of the notion that gravity, in certain regards, can be re-conceived as the product of two gauge theories. We begin with a short history of the relationship between gauge and gravity theories in the context of "gravity = gauge × gauge". This is followed by modern approaches to gauge/gravity scattering amplitude relations, focussing on the Bern-Carrasco-Johansson colourkinematic duality and double-copy construction of gravitational amplitudes from gauge amplitudes. This includes a partial characterisation of what gravity theories admit a gauge theory squared origin. We then consider classical and off-shell perspectives on "gravity = gauge × gauge". First we review field theoretic approaches to understanding the colour-kinematic duality and the double-copy prescription, including kinematic algebras and colour-kinematic duality and double-copy manifesting Lagrangians. We then consider classical double-copy-like methods for constructing gravitational solutions from gauge theory solutions. To close, we consider a purely field theoretic take on "gravity = gauge × gauge". This framework centres on a convolutive product of gauge theories, at the level of spacetime fields themselves, that yields gravitational theories.

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Section: Outlinementioning

confidence: 99%

Gravity as the square of gauge theory: a review

Borsten

2020

Riv. Nuovo Cim.

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“…Things are more subtle in gauge theories, where the diagrams contributing to W have a richer structure and go under the name of webs [67][68][69][70][71][72][73][74][75]. An independent exponentiation [76] occurs in the study of the high energy limit of four-point scattering amplitudes (also called Regge limit), i.e. 2 → 2 processes in the limit where the center of mass energy √ s is much larger than the momentum transfer |t|.…”

Section: Soft and Eikonal Exponentiationmentioning

confidence: 99%

Classical and quantum gravitational scattering with Generalized Wilson Lines

Bonocore,

Kulesza,

Pirsch

2021

Preprint

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The all-order structure of scattering amplitudes is greatly simplified by the use of Wilson line operators, describing eikonal emissions from straight lines extending to infinity. A generalization at subleading powers in the eikonal expansion, known as Generalized Wilson Line (GWL), has been proposed some time ago, and has been applied both in QCD phenomenology and in the high energy limits of gravitational amplitudes. In this paper we revisit the construction of the scalar gravitational GWL starting from first principles in the worldline formalism. We identify the correct Hamiltonian that leads to a simple correspondence between the soft expansion and the weak field expansion. This allows us to isolate the terms in the GWL that are relevant in the classical limit. In doing so we devote special care to the regularization of UV divergences that were not discussed in an earlier derivation. We also clarify the relation with a parallel body of work that recently investigated the classical limit of scattering amplitudes in gravity in the worldline formalism.

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“…A useful fact is that the evolution admits one well-known solution in the case where the exchanged state is colour-adjoint and ⌦(p, k) is constant (i.e. independent of k) [1,2]. where the Hamiltonian consists of two componentsĤ =…”

Section: Evolution Of the Wavefunctionmentioning

confidence: 99%

“…In section 8 we briefly summarise our conclusions. 1 For a recent introduction to the general subject of scattering amplitudes in the high-energy limit see [1]. 1 2.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The High-Energy Limit of 2 to 2 Partonic Scattering Amplitudes

Gardi¹,

Caron-Huot²,

Reichel³

et al. 2019

Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019)

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Recently, there has been significant progress in computing scattering amplitudes in the highenergy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of high-energy logarithms and that of infrared singularities. The focus in this talk is the imaginary part of 2 to 2 partonic amplitudes, which can be determined by solving the BFKL equation. We demonstrate that the wavefunction is infrared finite, and that its evolution closes in the soft approximation. Within this approximation we derive a closedform solution for the amplitude in dimensional regularization, which fixes the soft anomalous dimension to all orders at NLL accuracy. We then turn to finite contributions of the amplitude and show that the remaining hard contributions can be determined algorithmically, by iteratively solving the BFKL equation in exactly two dimensions within the class of single-valued harmonic polylogarithms. To conclude we present numerical results and analyse large-order behaviour of the amplitude.

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Aspects of high energy scattering

Cited by 11 publications

References 137 publications

Gravity as the square of gauge theory: a review

Gravity as the square of gauge theory: a review

Classical and quantum gravitational scattering with Generalized Wilson Lines

The High-Energy Limit of 2 to 2 Partonic Scattering Amplitudes

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