Projectivity of Planar Zeros in Field and String Theory Amplitudes - INSPIRE

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Projectivity of Planar Zeros in Field and String Theory Amplitudes

Diego Medrano Jiménez
(
- Madrid, IFT and
- Madrid, Autonoma U.
)
,
Agustin Sabio Vera
(
- Madrid, IFT and
- Madrid, Autonoma U.
)
,
Miguel Á. Vázquez-Mozo
(
- Salamanca U., IUFFyM
)

Mar 21, 2017

28 pages

Published in:

JHEP 05 (2017) 011

Published: May 3, 2017

e-Print:

1703.07274 [hep-th]

DOI:

10.1007/JHEP05(2017)011

View in:

reference search3 citations

Citations per year

Abstract: (arXiv)

We study the projective properties of planar zeros of tree-level scattering amplitudes in various theories. Whereas for pure scalar field theories we find that the planar zeros of the five-point amplitude do not enjoy projective invariance, coupling scalars to gauge fields gives rise to tree-level amplitudes whose planar zeros are determined by homogeneous polynomials in the stereographic coordinates labelling the direction of flight of the outgoing particles. In the case of pure gauge theories, this projective structure is generically destroyed if string corrections are taken into account. Scattering amplitudes of two scalars with graviton emission vanish exactly in the planar limit, whereas planar graviton amplitudes are zero for helicity violating configurations. These results are corrected by string effects, computed using the single-valued projection, which render the planar amplitude nonzero. Finally, we discuss how the structure of planar zeros can be derived from the soft limit behavior of the scattering amplitudes.

Note:

39 page, 5 figures. v2: typos corrected. It matches the version published in Journal of High Energy Physics

Models of Quantum Gravity
Perturbative QCD
Scattering Amplitudes
field theory: scalar
string: correction
coupling: scalar
string: effect
gravitation: emission
helicity: violation
scattering amplitude

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