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SUMMARY:RG-stability of parameter relations in the absence of a convention
 al symmetry - Howie Haber\, University of California Santa Cruz
DTSTART:20251111T160000Z
DTEND:20251111T170000Z
UID:TALK238819@talks.cam.ac.uk
CONTACT:Benjamin Christopher Allanach
DESCRIPTION:The stability of tree-level relations among the parameters of 
 a quantum field theory with respect to renormalization group (RG) running 
 is typically explained by the existence of a symmetry.  A simple model of 
 two real scalar fields is presented in which a tree-level relation among t
 he squared-mass parameters of the scalar potential is RG-stable without th
 e presence of a conventional underlying symmetry. Some authors have attemp
 ted to explain this result by introducing a so-called GOOFy symmetry.  In 
 this talk\, the stability of this parameter relation with respect to RG ru
 nning is explained by complexifying the original scalar field theory. It i
 s then possible to exhibit a conventional symmetry that guarantees the rel
 ations of relevant beta functions of squared-mass parameters of the comple
 xified theory. We can then show that the RG-stability of the parameter rel
 ations of the original real scalar field theory is inherited from the con
 ventional symmetry of the corresponding complexified theory.\n
LOCATION:MR11 (Pavilion B)\, CMS
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