127 citations · 660 across the 25 of their papers we have counts for
25 papers
Anomaly Detection with Machine Learning Algorithms in Large-Scale Power Grids
Marc Gillioz, Guillaume Dubuis, Étienne Voutaz +1
We apply several machine learning algorithms to the problem of anomaly detection in operational data for large-scale, high-voltage electric power grids. We observe important differ…
The momentum-space conformal bootstrap in 2d
Marc Gillioz
A new bootstrap equation in 2-dimensional conformal field theory is derived starting from the momentum-space representation of the correlation functions. Since Wightman functions a…
A large synthetic dataset for machine learning applications in power transmission grids
Marc Gillioz, Guillaume Dubuis, Philippe Jacquod
With the ongoing energy transition, power grids are evolving fast. They operate more and more often close to their technical limit, under more and more volatile conditions. Fast, e…
Conformal field theory for particle physicists
Marc Gillioz
This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum…
Spinors and conformal correlators
Marc Gillioz
In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-k…
From Schwinger to Wightman: all conformal 3-point functions in momentum space
Marc Gillioz
All conformal correlation functions of 3 scalar primary operators are constructed in an axiomatic way, relying only on conformal symmetry and causality. The construction makes use…
Conformal partial waves in momentum space
Marc Gillioz
The decomposition of 4-point correlation functions into conformal partial waves is a central tool in the study of conformal field theory. We compute these partial waves for scalar…
A Scattering Amplitude in Conformal Field Theory
Marc Gillioz, Marco Meineri, Joao Penedones
We define form factors and scattering amplitudes in Conformal Field Theory as the coefficient of the singularity of the Fourier transform of time-ordered correlation functions, as…
Convergent Momentum-Space OPE and Bootstrap Equations in Conformal Field Theory
Marc Gillioz, Xiaochuan Lu, Markus A. Luty +1
General principles of quantum field theory imply that there exists an operator product expansion (OPE) for Wightman functions in Minkowski momentum space that converges for arbitra…
Conformal 3-point functions and the Lorentzian OPE in momentum space
Marc Gillioz
In conformal field theory in Minkowski momentum space, the 3-point correlation functions of local operators are completely fixed by symmetry. Using Ward identities together with th…
Momentum-space conformal blocks on the light cone
Marc Gillioz
We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary…
Graviton Scattering and a Sum Rule for the c Anomaly in 4D CFT
Marc Gillioz, Xiaochuan Lu, Markus A. Luty
4D CFTs have a scale anomaly characterized by the coefficient , which appears as the coefficient of logarithmic terms in momentum space correlation functions of the energy-momen…
Spontaneous conformal symmetry breaking and a massless Wu-Yang monopole
Marc Gillioz
A formulation of supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum leve…
Scale Anomalies, States, and Rates in Conformal Field Theory
Marc Gillioz, Xiaochuan Lu, Markus A. Luty
This paper presents two methods to compute scale anomaly coefficients in conformal field theories (CFTs), such as the c anomaly in four dimensions, in terms of the CFT data. We fir…
The local renormalization of super-Yang-Mills theories
Marc Gillioz
We show how to consistently renormalize and super-Yang-Mills theories in flat space with a local (i.e. space-time-dependent) renormalization sca…
Constraining new coloured matter from the ratio of 3- to 2-jets cross sections at the LHC
Diego Becciolini, Marc Gillioz, Marco Nardecchia +2
The Large Hadron Collider experiments are probing the evolution of the strong coupling up to the TeV scale. We show how the ratio of 3- to 2-jets cross sections is affected b…
Vector-like Bottom Quarks in Composite Higgs Models
Marc Gillioz, Ramona Grober, Andreas Kapuvari +1
Like many other models, Composite Higgs Models feature the existence of heavy vector-like quarks. Mixing effects between the Standard Model fields and the heavy states, which can b…
Standard Model Vacuum Stability and Weyl Consistency Conditions
Oleg Antipin, Marc Gillioz, Jens Krog +2
At high energy the standard model possesses conformal symmetry at the classical level. This is reflected at the quantum level by relations between the different beta functions of t…
a New Conformal Window Bound from the a theorem
Oleg Antipin, Marc Gillioz, Francesco Sannino
We propose a novel constraint on the gauge dynamics of strongly interacting gauge theories stemming from the a theorem. The inequality we suggest is used to provide a lower bound o…
The a theorem for Gauge-Yukawa theories beyond Banks-Zaks
Oleg Antipin, Marc Gillioz, Esben Mølgaard +1
We investigate the a theorem for nonsupersymmetric gauge-Yukawa theories beyond the leading order in perturbation theory. The exploration is first performed in a model-independent…
Higgs Low-Energy Theorem (and its corrections) in Composite Models
M. Gillioz, R. Grober, C. Grojean +2
The Higgs low-energy theorem gives a simple and elegant way to estimate the couplings of the Higgs boson to massless gluons and photons induced by loops of heavy particles. We exte…
Dangerous Skyrmions in Little Higgs Models
Marc Gillioz
Skyrmions are present in many models of electroweak symmetry breaking where the Higgs is a pseudo-Goldstone boson of some strongly interacting sector. They are stable, composite ob…
Classical skyrmions in SU(N)/SO(N) cosets
Marc Gillioz
We construct the skyrmion solutions appearing in the coset spaces SU(N)/SO(N) for N > 2 and compute their classical mass. For N = 3, the third homotopy group pi_3(SU(3)/SO(3)) = Z_…
The Little Skyrmion: New Dark Matter for Little Higgs Models
Marc Gillioz, Andreas von Manteuffel, Pedro Schwaller +1
We study skyrmions in the littlest Higgs model and discuss their possible role as dark matter candidates. Stable massive skyrmions can exist in the littlest Higgs model also in abs…