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2019

One-loop CHY-Integrand of Bi-adjoint Scalar Theory

Feng, Bo, Hu, Chang

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In this paper, the one-loop CHY-integrands of bi-adjoint scalar theory has been reinvestigated.

Differing from previous constructions, we have explicitly removed contributions from tadpole and massless bubbles when taking the forward limit of corresponding tree-level amplitudes.
The way to remove those singular contributions is to exploit the idea of 'picking poles', which is to multiply a special cross ratio factor with the role of isolating terms having a particular pole structure.

One-loop CHY-Integrand of Bi-adjoint Scalar Theory · Around

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2014
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2014
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2014
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2014
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2015
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2015
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2015
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E. Casali and P. Tourkine, “Infrared behaviour of the one-loop scattering equations and supergravity integrands,” JHEP 1504
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C. Baadsgaard, Amplitudes from sting theory and CHY formalism, Master’s thesis, Copenhagen University, 2015. Available at http://discoverycenter.nbi.ku.dk/teaching/thesis_page/

Then

B. Feng, “CHY-construction of Planar Loop Integrands of Cubic Scalar Theory,” JHEP 1605
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2016
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Y. Geyer, L. Mason, R. Monteiro and P. Tourkine, “Two-Loop Scattering Amplitudes from the Riemann Sphere,” Phys. Rev. D 94
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R. Huang, B. Feng, M. x. Luo and C. J. Zhu, “Feynman Rules of Higher-order Poles in CHY Construction,” JHEP 1606
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2016
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N. E. J. Bjerrum-Bohr, J. L. Bourjaily, P. H. Damgaard and B. Feng, ’Analytic representations of Yang-Mills amplitudes,’ Nucl. Phys. B 913
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2016
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N. E. J. Bjerrum-Bohr, J. L. Bourjaily, P. H. Damgaard and B. Feng, “Manifesting Color-Kinematics Duality in the Scattering Equation Formalism,” JHEP 1609

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