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For the first time, we list the complete and independent set of operators at the next-to-next-to-leading order (NNLO) in the Higgs effective field theory (HEFT), also named as the electroweak chiral Lagrangian with the light Higgs boson.…

High Energy Physics - Phenomenology · Physics 2023-05-10 Hao Sun , Ming-Lei Xiao , Jiang-Hao Yu

We consider conformal blocks of two heavy operators and an arbitrary number of light operators in a (1+1)-d CFT with large central charge. Using the monodromy method, these higher-point conformal blocks are shown to factorize into products…

High Energy Physics - Theory · Physics 2016-05-27 Pinaki Banerjee , Shouvik Datta , Ritam Sinha

We consider large-$c$ $n$-point Virasoro blocks with $n-k$ background heavy operators and $k$ perturbative heavy operators. Conformal dimensions of heavy operators scale linearly with large $c$, while splitting into background/perturbative…

High Energy Physics - Theory · Physics 2020-05-20 K. B. Alkalaev , Mikhail Pavlov

Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity,…

High Energy Physics - Theory · Physics 2016-01-27 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

Conformal field theories (CFTs) in Euclidean signature satisfy well-accepted rules, such as conformal invariance and the convergent Euclidean operator product expansion (OPE). Nowadays, it is common to assume that CFT correlators exist and…

High Energy Physics - Theory · Physics 2022-09-02 Jiaxin Qiao

The Weak Gravity Conjecture is typically stated as a bound on the mass-to-charge ratio of a particle in the theory. Alternatively, it has been proposed that its natural formulation is in terms of the existence of a particle which is…

High Energy Physics - Theory · Physics 2021-12-15 Ofer Aharony , Eran Palti

We study solutions of type IIB supergravity which are SL(2,R) x SU(2) x U(1)^2 invariant deformations of AdS_3 x S^3 x K3 and take the form of products of self-dual spacelike warped AdS_3 and a deformed three-sphere. One of these…

High Energy Physics - Theory · Physics 2015-05-30 Sheer El-Showk , Monica Guica

We use holographic methods to study the entanglement entropy for excited states in a two dimensional conformal field theory. The entangling area is a single interval and the excitations are produced by in and out vertex operators with given…

High Energy Physics - Theory · Physics 2013-03-27 Amin Faraji Astaneh , Amir Esmaeil Mosaffa

The four-dimensional $S$-matrix is reconsidered as a correlator on the celestial sphere at null infinity. Asymptotic particle states can be characterized by the point at which they enter or exit the celestial sphere as well as their…

High Energy Physics - Theory · Physics 2019-02-20 Laura Donnay , Andrea Puhm , Andrew Strominger

We analytically study the lightcone limit of the conformal bootstrap equations for 4-point functions containing global symmetry currents and the stress tensor in 3d CFTs. We show that the contribution of the stress tensor to the anomalous…

High Energy Physics - Theory · Physics 2016-04-01 Daliang Li , David Meltzer , David Poland

We present new numerical results on the space of local, unitary, parity-preserving conformal field theories (CFTs) in three dimensions from the stress tensor bootstrap. In bounds maximizing certain OPE coefficients, we find a plethora of…

High Energy Physics - Theory · Physics 2026-02-17 Rajeev S. Erramilli , Matthew S. Mitchell

We prove using invariance under the modular $S$- and $ST$-transformations that every unitary two-dimensional conformal field theory (CFT) of only even-spin operators (with no extended chiral algebra and with central charges $c,\tilde{c}>1$)…

High Energy Physics - Theory · Physics 2016-01-28 Joshua D. Qualls

The partition function of the W_N minimal model CFT is computed in the large N 't Hooft limit and compared to the spectrum of the proposed holographic dual, a 3d higher spin gravity theory coupled to massive scalar fields. At finite N, the…

High Energy Physics - Theory · Physics 2011-08-25 Matthias R. Gaberdiel , Rajesh Gopakumar , Thomas Hartman , Suvrat Raju

We compute tree-level celestial operator product expansions (OPE) in a bosonic sub-sector of the Berkovits-Witten conformal supergravity from the scattering amplitudes in the MHV configuration. While the OPE between a leading soft graviton…

High Energy Physics - Theory · Physics 2025-11-06 Nirmal Ghorai , Partha Paul , Nemani V. Suryanarayana

This is a very brief review of some results from hep-th/0112154 and hep-th/0209191. In holographic renormalization, we studied the RG flow of a 2d N=(4,4) CFT perturbed by a relevant operator, flowing to a conformal fixed point in the IR.…

High Energy Physics - Theory · Physics 2007-05-23 Marcus Berg

In conformal field theory (CFT), the four-point correlator is a fundamental object that encodes CFT properties, constrains CFT structures, and connects to the gravitational scattering amplitude in holography theory. However, the four-point…

Statistical Mechanics · Physics 2023-06-09 Chao Han , Liangdong Hu , W. Zhu , Yin-Chen He

We derive a compact analytic formula for a complete basis of conformally invariant tensor structures for three-point functions of conserved operators in arbitrary 4D Lorentz representations. The construction follows directly from a novel…

High Energy Physics - Theory · Physics 2026-01-09 Paul Heslop , Hector Puerta Ramisa

The vacuum entanglement entropy of a general conformal field theory (CFT) in $d=5$ spacetime dimensions contains a universal term, $F(A)$, which has a complicated and non-local dependence on the geometric details of the region $A$ and the…

High Energy Physics - Theory · Physics 2025-01-03 Giorgos Anastasiou , Ignacio J. Araya , Pablo Bueno , Javier Moreno , Rodrigo Olea , Alejandro Vilar Lopez

Classical field configurations such as the Coulomb potential and Schwarzschild solution are built from the t-channel exchange of many light degrees of freedom. We study the CFT analog of this phenomenon, which we term the `eikonalization'…

High Energy Physics - Theory · Physics 2015-09-11 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters , Junpu Wang

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky