Rigorous Limits on the Interaction Strength in Quantum Field Theory

We derive model-independent, universal upper bounds on the Operator Product Expansion (OPE) coefficients in unitary 4-dimensional Conformal Field Theories. The method uses the conformal block decomposition and the crossing symmetry constraint of the 4-point function. In particular, the OPE coefficie...

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Detalles Bibliográficos
Autores principales: Caracciolo, Francesco, Rychkov, Slava
Formato: info:eu-repo/semantics/article
Lenguaje:eng
Publicado: 2009
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/1228934
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author Caracciolo, Francesco
Rychkov, Slava
author_facet Caracciolo, Francesco
Rychkov, Slava
author_sort Caracciolo, Francesco
collection CERN
description We derive model-independent, universal upper bounds on the Operator Product Expansion (OPE) coefficients in unitary 4-dimensional Conformal Field Theories. The method uses the conformal block decomposition and the crossing symmetry constraint of the 4-point function. In particular, the OPE coefficient of three identical dimension $d$ scalar primaries is found to be bounded by ~ 10(d-1) for 1<d<1.7. This puts strong limits on unparticle self-interaction cross sections at the LHC.
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spelling cern-12289342019-09-30T06:29:59Z http://cds.cern.ch/record/1228934 eng Caracciolo, Francesco Rychkov, Slava Rigorous Limits on the Interaction Strength in Quantum Field Theory Particle Physics - Theory We derive model-independent, universal upper bounds on the Operator Product Expansion (OPE) coefficients in unitary 4-dimensional Conformal Field Theories. The method uses the conformal block decomposition and the crossing symmetry constraint of the 4-point function. In particular, the OPE coefficient of three identical dimension $d$ scalar primaries is found to be bounded by ~ 10(d-1) for 1<d<1.7. This puts strong limits on unparticle self-interaction cross sections at the LHC. info:eu-repo/grantAgreement/EC/FP7/237920 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1228934 2009-12-16
spellingShingle Particle Physics - Theory
Caracciolo, Francesco
Rychkov, Slava
Rigorous Limits on the Interaction Strength in Quantum Field Theory
title Rigorous Limits on the Interaction Strength in Quantum Field Theory
title_full Rigorous Limits on the Interaction Strength in Quantum Field Theory
title_fullStr Rigorous Limits on the Interaction Strength in Quantum Field Theory
title_full_unstemmed Rigorous Limits on the Interaction Strength in Quantum Field Theory
title_short Rigorous Limits on the Interaction Strength in Quantum Field Theory
title_sort rigorous limits on the interaction strength in quantum field theory
topic Particle Physics - Theory
url http://cds.cern.ch/record/1228934
http://cds.cern.ch/record/1228934
work_keys_str_mv AT caracciolofrancesco rigorouslimitsontheinteractionstrengthinquantumfieldtheory
AT rychkovslava rigorouslimitsontheinteractionstrengthinquantumfieldtheory

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