Generating Functions for Effective Field Theory Operators

ORAL

Abstract

The Hilbert series technique provides a robust way to calculate effective field theory operators, especially in situations where more traditional methods become computationally intractable. This technique will be explained, and recent work extending the method to include derivatives and calculate the dimension-8 operators in the Standard Model Effective Field Theory (SMEFT) will be reviewed.

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Authors

  • Landon Lehman

    University of Notre Dame

  • Matt Bowers

    University of Notre Dame, University of Bari, Gran Sasso Science Institute, JINA and UND, UTK, LLNL, OU, INFN, TAMU, Universidad Complutense, Madrid, Lawrence Livermore National Laboratory, Division of Nuclear Physics, National Centre for Nuclear Research, Warsaw, Notre Dame University, University of Michigan, Michigan State University, Univ of Notre Dame, Weizmann Institute, Univ of Birmingham, Univ of Michigan, Oak Ridge National Laboratory, Argonne National Laboratory, The Hebrew University Jerusalem, Indiana University Purdue University Fort Wayne, Professor, University of Notre Dame, Assistant Professor, University of Notre Dame, PhD student, Associate Professor, University of Notre Dame, University of Richmond, University of Surrey, University of Richmond, University of Oslo, University of Wisconsin-La Crosse, University of Notre Dame, Department of Civil Engineering, University of Notre Dame, Department of Applied Computational Mathematics and Statistics, IUPUI Department of Physics, Indianapolis, IN, Ohio Northern University, Northern Kentucky University, Physics Department, Unversity of Missouri, Physics Department, REU Summer Intern, Sichuan University, Purdue University, Princeton University, Monmouth College, ETH, Switzerland, EPFL, Switzerland, Institut Laue-Langevin, France, Kent State University, University of Tennessee, Indiana University South Bend, University Of Notre Dame