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# Detectors in weakly-coupled field theories

Caron-Huot, Simon and Koloğlu, Murat and Kravchuk, Petr and Meltzer, David and Simmons-Duffin, David (2022) Detectors in weakly-coupled field theories. arXiv . https://resolver.caltech.edu/CaltechAUTHORS:20220922-222020207

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## Abstract

We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a collider experiment. In a conformal theory they can be identified with light-ray operators, and thus have a direct relation to the spectrum of the theory. After a general discussion of the underlying physical picture, we show how infrared divergences of general detector operators can be renormalized in perturbation theory, and how they give rise to detector anomalous dimensions. We discuss in detail how this renormalization can be performed at the intersections of the Regge trajectories where non-trivial mixing occurs, which is related to the poles in anomalous dimensions at special values of spin. Finally, we discuss novel horizontal trajectories in scalar theories and show how they contribute to correlation functions. Our calculations are done in the example of $\phi^4$ theory in $d=4-\epsilon$ dimensions, but the methods are applicable more broadly. At the Wilson-Fisher fixed point our results include an explicit expression for the Pomeron light-ray operator at two loops, as well as a prediction for the value of the Regge intercept at five loops.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://doi.org/10.48550/arXiv.2209.00008DOIarXiv Discussion Paper
ORCID:
AuthorORCID
Koloğlu, Murat0000-0002-5082-8434
Kravchuk, Petr0000-0003-0977-3686
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:We thank Cyuan-Han Chang, Lance Dixon, Nikolay Gromov, Juan Maldacena, Ian Moult, Andy Strominger, Sasha Zhiboedov, and especially Shota Komatsu for valuable discussions. We additionally thank the organizers and participants of the workshops \Analytic approaches to the bootstrap" in the Azores in 2018, and Bootstrap 2019 at the Perimeter Institute, where this work was initiated. PK and DSD also thank the organizers and participants of the 2019 conference "From Scattering Amplitudes to the Conformal Bootstrap" at the Aspen Center for Physics (supported by National Science Foundation grant PHY-1607611). DSD is supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap) and a DOE Early Career Award under grant No. DE-SC0019085. PK was supported by DOE grant No. DE-SC0009988, the Adler Family Fund, as well as the Corning Glass Works Foundation Fellowship Fund at the Institute for Advanced Study. Work of SCH is supported by the Simons Collaboration on the Nonperturbative Bootstrap, the Canada Research Chair program and the Sloan Foundation. The work of MK is supported by funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No 787185), and by a Yale Mossman Prize Fellowship in Physics. DM was supported by the DOE under grant No. DE-SC0011632 and by the NSF grant PHY-2014071.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
NSFPHY-1607611
Simons Foundation488657
Department of Energy (DOE)DE-SC0019085
Department of Energy (DOE)DE-SC0009988
Alfred P. Sloan FoundationUNSPECIFIED
European Research Council (ERC)787185
Yale UniversityUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
NSFPHY-2014071
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2022-31
DOI:10.48550/arXiv.2209.00008
Record Number:CaltechAUTHORS:20220922-222020207
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220922-222020207
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:117119
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:23 Sep 2022 16:26