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Detectors in weakly-coupled field theories
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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.
Forward citations
Cited by 7 Pith papers
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Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories
Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.
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Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities
First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.
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Correction exponents in the chiral Heisenberg model at $1/N^2$: singular contributions and operator mixing
Correction exponents at 1/N^{2} in the chiral Heisenberg model agree with 4−ε results but one pole at d=3 is resummed via four-fermion mixing, modifying leading-order 3D exponents consistently with direct calculation.
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Energy correlators in four-dimensional gravity
Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.
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Quantum Scaling in Energy Correlators Beyond the Confinement Transition
In the post-confinement regime the small-angle energy-energy correlator scales with the collision energy through the J=5 DGLAP anomalous dimension, and the light-ray OPE coefficients are moments of the dihadron fragme...
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Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model
In the critical O(N) model, renormalizing detector and distribution light-ray operators at leading order in 1/N yields Regge intercepts, the leading-twist splitting function, and a BFKL-type anomalous spin.
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Anomalous dimensions at small spins
The quadratic mass-correction combination of twist-two anomalous dimensions stays finite at small spin in the O(N) phi^4, phi^3, and Gross-Neveu-Yukawa models at the computed loop orders, enabling explicit resummations.
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