UV consistency conditions for CHY integrands

Rodina, Laurentiu

doi:10.48550/arxiv.2005.06446

Cited by 2 publications

(2 citation statements)

References 43 publications

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“…the choice of reference ordering etc. obscures the symmetry and possible underlying structure, where it becomes difficult to see gauge invariance manifestly (which is essentially the defining property here, see [60,61] ). Last but not least, our method is closely related to that in [62] (see also [48,63]), and it would be interesting to work out the connections more precisely.…”

Section: Discussionmentioning

confidence: 99%

Kinematic numerators from the worldsheet: cubic trees from labelled trees

He,

Hou,

Tian

et al. 2021

Preprint

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In this note we revisit the problem of explicitly computing tree-level scattering amplitudes in various theories in any dimension from worldsheet formulas. The latter are known to produce cubic-tree expansion of tree amplitudes with kinematic numerators automatically satisfying Jacobi-identities, once any half-integrand on the worldsheet is reduced to logarithmic functions. We review a natural class of worldsheet functions called "Cayley functions", which are in one-to-one correspondence with labelled trees, and natural expansions of known half-integrands onto them with coefficients that are particularly compact building blocks of kinematic numerators. We present a general formula expressing kinematic numerators of all cubic trees as linear combinations of coefficients of labelled trees, which satisfy Jacobi identities by construction and include the usual combinations in terms of master numerators as a special case. Our results provide an efficient algorithm, which is implemented in a Mathematica package, for computing all tree amplitudes in theories including non-linear sigma model, special Galileon, Yang-Mills-scalar, Einstein-Yang-Mills and Dirac-Born-Infeld.

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Section: Discussionmentioning

confidence: 99%

Kinematic numerators from the worldsheet: cubic trees from labelled trees

He,

Hou,

Tian

et al. 2021

Preprint

View full text Add to dashboard Cite

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“…As is well-known, the members of this club are exceptional in that their interactions are fully fixed by economical principles such as Lorentz invariance [13][14][15], gauge invariance [16], soft theorems [12,[17][18][19][20][21][22][23][24][25][26], colorkinematics duality [1-4, 8, 27-30], unifying relations [31], ultraviolet behavior [32][33][34], or symmetry [35][36][37][38][39][40], depending on the theory in question. However, since these theories all appear in the same contexts in the same way there is still the prospect that a single physical principle links these otherwise strange bedfellows.…”

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confidence: 99%

Hidden Conformal Invariance of Scalar Effective Field Theories

Cheung,

Mangan,

Shen

2020

Preprint

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We argue that conformal invariance is a common thread linking scalar effective field theories appearing in the double copy. For a derivatively coupled scalar with a quartic O(p 4 ) vertex, classical conformal invariance dictates an infinite tower of additional interactions that coincide exactly with Dirac-Born-Infeld theory analytically continued to spacetime dimension D = 0. For the case of a quartic O(p 6 ) vertex, classical conformal invariance constrains the theory to be the special Galileon in D = −2 dimensions. We also verify the conformal invariance of these theories by showing that their amplitudes are uniquely fixed by the conformal Ward identities. In these theories conformal invariance is a much more stringent constraint than scale invariance.

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UV consistency conditions for CHY integrands

Cited by 2 publications

References 43 publications

Kinematic numerators from the worldsheet: cubic trees from labelled trees

Kinematic numerators from the worldsheet: cubic trees from labelled trees

Hidden Conformal Invariance of Scalar Effective Field Theories

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