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Bounds on scattering amplitudes of non-identical scalar particles in 4d
Gabriele Ferretti, Denis Karateev, Alessandro Piazza +1
We initiate the study of two-to-two scattering amplitudes involving two distinct scalar particles in spacetime dimensions using the primal S-matrix bootstrap. We impose a $…
Bounds on Abelian Currents in 4d CFTs
Denis Karateev, Petr Kravchuk, Andrea Manenti +2
We study four-dimensional conformal field theories (CFTs) with an abelian global symmetry using the conformal bootstrap approach. We obtain numerical bounds on the scaling d…
Correlation Functions and Trace Anomalies in Weakly Relevant Flows
Denis Karateev, Biswajit Sahoo
We study abstract weakly relevant flows in a general number of dimensions. They arguably provide the simplest example of renormalization group (RG) flows between two non-trivial fi…
Fermion Conformal Bootstrap in 4d
Denis Karateev, Petr Kravchuk, Marco Serone +1
We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE…
Harmonic Analysis and Mean Field Theory
Denis Karateev, Petr Kravchuk, David Simmons-Duffin
We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introd…
Scalar-Fermion Analytic Bootstrap in 4D
Emtinan Elkhidir, Denis Karateev
In this work we discuss an analytic bootstrap approach [1,2] in the context of spinning 4D conformal blocks [3,4]. As an example we study the simplest spinning case, the scalar-fer…