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The light-ray OPE and conformal colliders

Koloğlu, Murat and Kravchuk, Petr and Simmons-Duffin, David and Zhiboedov, Alexander (2019) The light-ray OPE and conformal colliders. . (Submitted)

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We derive a nonperturbative, convergent operator product expansion (OPE) for null-integrated operators on the same null plane in a CFT. The objects appearing in the expansion are light-ray operators with fixed spin and bounded transverse spin, whose matrix elements can be computed by the generalized Lorentzian inversion formula. For example, a product of average null energy (ANEC) operators has an expansion in spin-3 light-ray operators. An important application is to collider event shapes. The light-ray OPE gives a nonperturbative expansion for event shapes in special functions that we call celestial blocks. As an example, we apply the celestial block expansion to energy-energy correlators in N=4 Super Yang-Mills theory. Using known OPE data, we find perfect agreement with previous results both at weak and strong coupling, and make new predictions at weak coupling through 4 loops (NNNLO).

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Kravchuk, Petr0000-0003-0977-3686
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:We thank Mikhail Alfimov, Cyuan Han Chang, Clay C´ordova, Lance Dixon, Claude Duhr, Tom Faulkner, Tom Hartman, Johannes Henn, Gregory Korchemsky, Adam Levine, Juan Maldacena, Ian Moult, Gavin Salam, Amit Sever, Emery Sokatchev, and Kai Yan for discussions. We thank Lance Dixon, Ian Moult, and Hua Xing Zhu for sharing a draft of their work before publication [30]. We also thank Gregory Korchemsky for sharing a draft of his work before publication [29]. We thank Nikolay Gromov for producing and sharing with us figure 14. DSD is supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap), a Sloan Research Fellowship, and a DOE Early Career Award under grant No. DE-SC0019085. PK is supported by DOE grant No. DE-SC0009988. This research was supported in part by the National Science Foundation under Grant No. NSF PHY-1748958.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Simons Foundation488657
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0019085
Department of Energy (DOE)DE-SC0009988
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Record Number:CaltechAUTHORS:20190709-151426552
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97011
Deposited By: Joy Painter
Deposited On:09 Jul 2019 22:43
Last Modified:03 Oct 2019 21:27

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