Fetching the paper…

Reading the bibliography…

2015

Loop Integrands for Scattering Amplitudes from the Riemann Sphere

Geyer, Yvonne, Mason, Lionel, Monteiro, Ricardo et al.

Original
PDF
Post on X

Understand

The scattering equations on the Riemann sphere give rise to remarkable formulae for tree-level gauge theory and gravity amplitudes.

Adamo, Casali and Skinner conjectured a one-loop formula for supergravity amplitudes based on scattering equations on a torus.
We use a residue theorem to transform this into a formula on the Riemann sphere.
What emerges is a framework for loop integrands on the Riemann sphere that promises to have wide application, based on off-shell scattering equations that depend on the loop momentum.

Loop Integrands for Scattering Amplitudes from the Riemann Sphere · Around

Built on

D. J. Gross and P. F. Mende, Nucl.Phys. B303
1988
Earlier work this paper cites.
E. Witten, Adv.Theor.Math.Phys. 8
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin, and A. Volovich, Phys.Rev. D70
2004
Earlier work this paper cites.
Z. Bern, J. Carrasco, and H. Johansson, Phys.Rev. D78
Original
2008
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco, and H. Johansson, Phys.Rev.Lett. 105
Original
2010
Earlier work this paper cites.

Similar

J. J. Carrasco and H. Johansson, Phys.Rev. D85
Original
2012
Cited alongside, same era.
L. Mason and D. Skinner, JHEP 1407
Original
2014
Cited alongside, same era.
T. Adamo, E. Casali, and D. Skinner, JHEP 1404
Original
2014
Cited alongside, same era.
L. Dolan and P. Goddard, JHEP 1405
Original
2014
Cited alongside, same era.
E. Casali, Y. Geyer, L. Mason, R. Monteiro, and K. A. Roehrig, (2015), arXiv:1506.08771 [hep-th]
Original
2015
Cited alongside, same era.
F. Cachazo, S. He, and E. Y. Yuan, Phys.Rev.Lett. 113
Original
Cited in the paper.
F. Cachazo, S. He, and E. Y. Yuan, (2014b), arXiv:1412.3479 [hep-th]
Original
Cited in the paper.

Then

K. Ohmori, (2015), arXiv:1504.02675 [hep-th]
Original
2015
Closest in time.
E. Casali and P. Tourkine, JHEP 1504
Original
2015
Closest in time.
C. R. Mafra and O. Schlotterer, Fortsch.Phys. 63
Original
2015
Closest in time.
T. Adamo and E. Casali, JHEP 1505
Original
2015
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…