Double copy of massive scalar QCD

We apply the recently developed formalism by Kosower, Maybee and O’Connell (KMOC) [12] to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in D ≥ 4 dimensions. We use this formalism in conjunction with quantum soft theorems to derive radiative electro-magnetic and gravitational fields in low frequency expansion and upto next to leading order in the coupling. We show that in all dimensions, the classical limit of sub-leading soft (photon and graviton) theorems is consistent with the classical soft theorems proved by Sen et al. in a series of papers. In particular in [11] Saha, Sahoo and Sen proved classical soft theorems for electro-magnetic and gravitational radiation in D = 4 dimensions. For the class of scattering processes that can be analyzed using KMOC formalism, we show that the classical limit of quantum soft theorems is consistent with the D = 4 classical soft theorems, paving the way for their proof from scattering amplitudes.

Section: Jhep05(2021)056mentioning

confidence: 99%

Soft radiation from scattering amplitudes revisited

Manu

Ghosh

Laddha

et al. 2021

“…Another important extension has been to find manifestations of it beyond gravity theory [36][37][38][39][40][41][42]. A natural line of work following from these successes has been to formalise the correspondence by constructing double copy dictionaries for the fields themselves and by studying the symmetries of the theories, both local [43][44][45][46][47][48] and global [49][50][51][52][53], as well as by giving direct constructions of Lagrangians via the DC [6,[54][55][56][57][58][59].…”

Section: Jhep03(2021)262 1 Introductionmentioning

confidence: 99%

A double copy for asymptotic symmetries in the self-dual sector

Campiglia

Nagy

2021

We give a double copy construction for the symmetries of the self-dual sectors of Yang-Mills (YM) and gravity, in the light-cone formulation. We find an infinite set of double copy constructible symmetries. We focus on two families which correspond to the residual diffeomorphisms on the gravitational side. For the first one, we find novel non-perturbative double copy rules in the bulk. The second family has a more striking structure, as a non-perturbative gravitational symmetry is obtained from a perturbatively defined symmetry on the YM side.At null infinity, we find the YM origin of the subset of extended Bondi-Metzner-Sachs (BMS) symmetries that preserve the self-duality condition. In particular, holomorphic large gauge YM symmetries are double copied to holomorphic supertranslations. We also identify the single copy of superrotations with certain non-gauge YM transformations that to our knowledge have not been previously presented in the literature.

“…However the 'double copy' paradigm has been found to be more general, and there are known examples of extensions of double copy relations between two non-gravitational theories for example non-linear sigma model and DBI or special Galileon theories [4][5][6][7][8][9][10][11][12] as well as extended gravitational relations such as that between super Yang-Mills and supergravity theories [13][14][15]. Recently the double copy paradigm was extended for gauge theories with massive matter fields [16][17][18][19].…”

Section: Jhep12(2020)030mentioning

confidence: 99%

Massive gravity from double copy

Momeni

Rumbutis

Tolley

2020

We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in which the Higgs has been integrated out. The obtained double copy effective field theory contains a massive spin-2, massive spin-1 and a massive spin-0 field, and we construct explicitly its interacting Lagrangian up to fourth order in fields. We find that up to this order, the spin-2 self interactions match those of the dRGT massive gravity theory, and that all the interactions are consistent with a Λ3 = (m2MPl)1/3 cutoff. We construct explicitly the Λ3 decoupling limit of this theory and show that it is equivalent to a bi-Galileon extension of the standard Λ3 massive gravity decoupling limit theory. Although it is known that the double copy of a nonlinear sigma model is a special Galileon, the decoupling limit of massive Yang-Mills theory is a more general Galileon theory. This demonstrates that the decoupling limit and double copy procedures do not commute and we clarify why this is the case in terms of the scaling of their kinematic factors.