Fetching the paper…

Reading the bibliography…

2017

Conformal anomaly of generalized form factors and finite loop integrals

Chicherin, Dmitry, Sokatchev, Emery

Original
PDF
Post on X

Understand

We reveal a new mechanism of conformal symmetry breaking at Born level.

It occurs in generalized form factors with several local operators and an on-shell state of massless particles.
The effect is due to hidden singularities on collinear configurations of the momenta.
This conformal anomaly is different from the holomorphic anomaly of amplitudes.

Conformal anomaly of generalized form factors and finite loop integrals · Around

Built on

I. M. Gelfand and G. E. Shilov, “Generalized functions. Vol. 1. Properties and operations,” Academic Press. San Diego (1964)
1964
Earlier work this paper cites.
D. J. Broadhurst, “Summation of an infinite series of ladder diagrams,” Phys. Lett. B 307
1993
Earlier work this paper cites.
Z. Bern, L. J. Dixon and D. A. Kosower, “Dimensionally regulated one loop integrals,” Phys. Lett. B 302
1993
Earlier work this paper cites.
C. Anastasiou, E. Glover and C. Oleari, “Application of negative dimension approach to massless scalar box integrals,” Nucl. Phys. B 565
2000
Earlier work this paper cites.
F. Cachazo, P. Svrcek and E. Witten, “Gauge theory amplitudes in twistor space and holomorphic anomaly,” JHEP 0410
2004
Earlier work this paper cites.
E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun. Math. Phys. 252
2004
Earlier work this paper cites.
J. M. Drummond, J. M. Henn, V. A. Smirnov and E. Sokatchev, “Magic identities for conformal four-point integrals,” JHEP 0701
2007
Earlier work this paper cites.
T. Bargheer, N. Beisert, W. Galleas, F. Loebbert and T. McLoughlin, “Exacting N=4 Superconformal Symmetry,” JHEP 0911
Original
2009
Earlier work this paper cites.
J. M. Drummond, J. M. Henn and J. Plefka, “Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory,” JHEP 0905
Original
2009
Earlier work this paper cites.

Similar

C. Cheung and D. O’Connell, “Amplitudes and Spinor-Helicity in Six Dimensions,” JHEP 0907
Original
2009
Cited alongside, same era.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes,” Nucl. Phys. B 826
Original
2010
Cited alongside, same era.
G. P. Korchemsky and E. Sokatchev, “Symmetries and analytic properties of scattering amplitudes in N=4 SYM,” Nucl. Phys. B 832
Original
2010
Cited alongside, same era.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory,” Nucl. Phys. B 828
Original
2010
Cited alongside, same era.
L. Alday, B. Eden, G. P. Korchemsky, J. Maldacena and E. Sokatchev, “From correlation functions to Wilson loops,” JHEP 1109

Then

V. Del Duca, C. Duhr and V. A. Smirnov, “The massless hexagon integral in D = 6 dimensions,” Phys. Lett. B 703
Original
2011
Later among the works it cites.
J. M. Drummond, J. M. Henn and J. Trnka, “New differential equations for on-shell loop integrals,” JHEP 1104
Original
2011
Later among the works it cites.
S. Caron-Huot and S. He, “Jumpstarting the All-Loop S-Matrix of Planar N=4 Super Yang-Mills,” JHEP 1207
Original
2012
Later among the works it cites.
S. Caron-Huot and K. J. Larsen, “Uniqueness of two-loop master contours,” JHEP 1210
Original
2012
Later among the works it cites.
O. T. Engelund and R. Roiban, “Correlation functions of local composite operators from generalized unitarity,” JHEP 1303

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

B. Eden, G. P. Korchemsky and E. Sokatchev, “From correlation functions to scattering amplitudes,” JHEP 1112

2011

Cited alongside, same era.

T. Bargheer, N. Beisert and F. Loebbert, “Exact Superconformal and Yangian Symmetry of Scattering Amplitudes,” J. Phys. A 44

2011

Cited alongside, same era.

L. J. Dixon, J. M. Drummond and J. M. Henn, “The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM,” JHEP 1106

2011

Cited alongside, same era.

M. Bullimore and D. Skinner, “Descent Equations for Superamplitudes,” arXiv:1112.1056 [hep-th]

Cited in the paper.

D. Chicherin, V. Kazakov, F. Loebbert, D. Müller and D. l. Zhong, “Yangian Symmetry for Fishnet Feynman Graphs,” arXiv:1708.00007 [hep-th]

Cited in the paper.

2013

Later among the works it cites.

D. Nandan, M. F. Paulos, M. Spradlin and A. Volovich, “Star Integrals, Convolutions and Simplices,” JHEP 1305

2013

Later among the works it cites.

D. Chicherin and E. Sokatchev, “ 𝒩 \mathcal{N} = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory,” JHEP 1702

2017

Closest in time.

D. Chicherin and E. Sokatchev, “ 𝒩 \mathcal{N} = 4 super-Yang-Mills in LHC superspace part II: non-chiral correlation functions of the stress-tensor multiplet,” JHEP 1703

Original

2017

Closest in time.