Sep 22 – 25, 2025
University of Warsaw, Faculty of Physics
Europe/Warsaw timezone

RG-stability of parameter relations in the absence of a conventional symmetry

Sep 23, 2025, 9:00 AM
30m
0.06 (University of Warsaw, Faculty of Physics)

0.06

University of Warsaw, Faculty of Physics

Pasteura 5, 02-093 Warsaw, Poland
Plenary Plenary 5

Speaker

Howard Haber (University of California, Santa Cruz)

Description

We examine a quantum field theory of two real scalars in which a tree-level relation among the squared-mass parameters of the scalar potential is stable under renormalization group (RG) running despite the absence of a conventional symmetry to explain the stability. By complexifying the original scalar field theory, one can identify the symmetry that guarantees the RG-stability of a corresponding relation satisfied by the squared-mass parameters of the complexified theory. We can then show that the RG-stability of the parameter relation of the original theory of two real scalars is a consequence of the structure of the beta functions of the parameters of the complexified theory.

Primary author

Howard Haber (University of California, Santa Cruz)

Presentation materials