Abstract
There has been an abundance of recent progress in calculating and understanding the ultraviolet properties of supergravity theories. On the calculation side, the duality between color and kinematics proposed in [1] has opened new avenues for constructing supergravity amplitude integrands at relatively high loop order. In this talk, I explain how the color-kinematics duality is used to construct gravity integrands, and I detail how to extract ultraviolet divergences once the integrands are known.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Since this contribution was written, the four-loop calculation has been completed. See ref. [20].
References
Z. Bern, J.J.M. Carrasco, H. Johansson, Phys. Rev. D 78, 085011 (2008). arXiv:0805.3993 [hep-ph]
G. Bossard, P.S. Howe, K.S. Stelle, P. Vanhove, Class. Quant. Grav. 28, 215005 (2011). arXiv:1105.6087 [hep-th]
Z. Bern, T. Dennen, T. Huang, M. Kiermaier, Phys. Rev. D 82, 065003 (2010). arXiv:1004.0693 [hep-th]
Z. Bern, J.J.M. Carrasco, H. Johansson, Phys. Rev. Lett. 105, 061602 (2010). arXiv:1004.0476 [hep-th]
Z. Bern, J.J.M. Carrasco, L.J. Dixon, H. Johansson, R. Roiban, Phys. Rev. D 85, 105014 (2012). arXiv:1201.5366 [hep-th]
J.J. Carrasco, H. Johansson, Phys. Rev. D 85, 025006 (2012). arXiv:1106.4711 [hep-th]
R. Monteiro, D. O’Connell, JHEP 1107, 007 (2011). arXiv:1105.2565 [hep-th]
N.E.J. Bjerrum-Bohr, P.H. Damgaard, R. Monteiro, D. O’Connell, JHEP 1206, 061 (2012). arXiv:1203.0944 [hep-th]
R.H. Boels, R.S. Isermann, R. Monteiro, D. O’Connell, JHEP 1304, 107 (2013). arXiv:1301.4165 [hep-th]
N.E.J. Bjerrum-Bohr, T. Dennen, R. Monteiro, D. O’Connell, Integrand Oxidation and One-Loop Colour-Dual Numerators in N=4 Gauge Theory. JHEP 1307, 092 (2013). arXiv:1303.2913 [hep-th]
N. Marcus, A. Sagnotti, Nuovo Cim. A 87, 1 (1985)
A.V. Smirnov, JHEP 0810, 107 (2008). arXiv:0807.3243 [hep-ph]
M. Czakon, Comput. Phys. Commun. 175, 559 (2006). arXiv:hep-th/0511200
Z. Bern, S. Davies, T. Dennen, Y.-T. Huang, Phys. Rev. Lett. 108, 201301 (2012). arXiv:1202.3423 [hep-th]
P. Tourkine, P. Vanhove, Class. Quant. Grav. 29, 115006 (2012). arXiv:1202.3692 [hep-th]
R. Kallosh, Phys. Rev. D 85, 081702 (2012). arXiv:1202.4690 [hep-th]
S. Ferrara, R. Kallosh, A. Van Proeyen, Phys. Rev. D 87, 025004 (2013). arXiv:1209.0418 [hep-th]
G. Bossard, P.S. Howe, K.S. Stelle, Phys. Lett. B 719, 424 (2013). arXiv:1212.0841 [hep-th]
G. Bossard, P.S. Howe, K.S. Stelle, Invariants and divergences in half-maximal supergravity theories. JHEP 1307, 117 (2013). arXiv:1304.7753 [hep-th]
Z. Bern, S. Davies, T. Dennen, A.V. Smirnov, V.A. Smirnov, The Ultraviolet Properties of N=4 Supergravity at Four Loops, Phys. Rev. Lett. 111, 231302 (2013). arXiv:1309.2498 [hep-th]
Acknowledgments
The work described in this talk was done in collaboration with Zvi Bern, Scott Davies, and Yu-tin Huang at UCLA, and with Emil Bjerrum-Bohr, Ricardo Monteiro, and Donal O’Connell at the Niels Bohr International Academy.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Dennen, T. (2014). Perturbative Ultraviolet Calculations in Supergravity. In: Bellucci, S. (eds) Breaking of Supersymmetry and Ultraviolet Divergences in Extended Supergravity. Springer Proceedings in Physics, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-319-03774-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-03774-5_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03773-8
Online ISBN: 978-3-319-03774-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)