Publications de Riccardo Rattazzi

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We study the scaling dimension Delta(phi n) of the operator phi(n) where phi is the fundamental complex field of the U(1) model at the Wilson-Fisher fixed point in d = 4 - epsilon. Even for a perturbatively small fixed point coupling lambda*, standard pert ...

We present a renormalizable theory of scalars in which the low-energy effective theory contains a pseudo-Goldstone boson with a compact field space of 2 pi F and an approximate discrete shift symmetry Z(Q) with Q >> 1, yet the number of fields in the theor ...

We provide a systematic effective lagrangian description of the phenomenology of the lightest top-partners in composite Higgs models. Our construction is based on symmetry, on selection rules and on plausible dynamical assumptions. The structure of the res ...

We explore an odd class of quantum field theories where a hierarchy problem is resolved with new dynamics as opposed to new particles. The essential element of our construction is a U(1) pseudo-NambuGoldstone boson with symmetry breaking interactions all c ...

We determine the contribution of long-range pion interactions to the X(3872) dynamics, assuming it is a loosely bound D-0(D) over bar*(0) molecule. Our result is based on the distorted wave Born approximation in non-relativistic quantum mechanics. Despite ...

We develop a simple description of models where electroweak symmetry breaking is triggered by a light composite Higgs, which emerges from a strongly-interacting sector as a pseudo-Gold stone boson. Two parameters broadly characterize these models: m(p), th ...

We study the possible IR and UV asymptotics of 4D Lorentz invariant unitary quantum field theory. Our main tool is a generalization of the Komargodski-Schwimmer proof for the alpha-theorem. We use this to rule out a large class of renormalization group flo ...

In QFT, the null energy condition (NEC) for a classical field configuration is usually associated with that configuration's stability against small perturbations, and with the sub-luminality of these. Here, we exhibit an effective field theory that allows ...

We propose a natural solution to the mu problem in gauge mediation. It relies on the logarithmic dependence of the effective Kahler potential on the messenger threshold superfield X. Thus, mu and B mu naturally arise at one and two loops, respectively. Mor ...

The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among t ...

We investigate the role of boundary conditions in gauge theories in AdS(4). The presence of the boundary can break the gauge symmetry consistently with AdS(4) isometries. We show that, as a consequence, the gauge bosons associated to the broken symmetries ...

Based on an explicit model, we propose and discuss the generic features of a possible implementation of the Twin Higgs program in the context of composite Higgs models. We find that the Twin Higgs quadratic divergence cancellation argument can be uplifted ...

This document aims to provide an assessment of the potential of future colliding beam facilities to perform Higgs boson studies. The analysis builds on the submissions made by the proponents of future colliders to the European Strategy Update process, and ...

Dark matter, gauge coupling unification, and the strong CP problem find a common and simple solution (in the absence of naturalness) within axion models. We show that such a solution, even without specifying the details of the model implementation, makes t ...

We explore the constraining power of OPE associativity in 4D conformal field theory with a continuous global symmetry group. We give a general analysis of crossing symmetry constraints in the 4-point function , where phi is ...

Hellerman et al. (arXiv:1505.01537) have shown that in a generic CFT the spectrum of operators carrying a large U(1) charge can be analyzed semiclassically in an expansion in inverse powers of the charge. The key is the operator state correspondence by whi ...

We clarify questions related to the convergence of the operator product expansion and conformal block decomposition in unitary conformal field theories (for any number of spacetime dimensions). In particular, we explain why these expansions are convergent ...

We consider correlators for the flux of energy and charge in the background of operators with large global U(1) charge in conformal field theory (CFT). It has recently been shown that the corresponding Euclidean correlators generically admit a semiclassica ...

We characterize models where electroweak symmetry breaking is driven by two light Higgs doublets arising as pseudo-Nambu-Goldstone bosons of new dynamics above the weak scale. They represent the simplest natural two Higgs doublet alternative to supersymmet ...

We derive model-independent lower bounds on the stress tensor central charge C-T in terms of the operator content of a 4-dimensional conformal field theory. More precisely, C-T is bounded from below by a universal function of the dimensions of the lowest a ...

Riccardo Rattazzi

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The epsilon expansion meets semiclassics

Large field excursions and approximate discrete symmetries from a clockwork axion

A first top partner hunter's guide

Softening the UV without new particles

The role of the pion in the lineshape of the X(3872)

The strongly-interacting light Higgs

The alpha-theorem and the asymptotics of 4D quantum field theory

Energy's and amplitudes' positivity

Natural mu and B mu in gauge mediation

The local Callan-Symanzik equation: structure and applications

Gauge boson mass generation in AdS(4)

The composite twin Higgs scenario

Higgs Boson studies at future particle colliders

Unificaxion

Bounds in 4D conformal field theories with global symmetry

Semiclassics, Goldstone bosons and CFT data

Operator product expansion convergence in conformal field theory

Flux correlators and semiclassics

The other natural two Higgs doublet model

Central charge bounds in 4D conformal field theory