Extracting Excited States From Lattice Correlation Functions

Kimberly Cushman, Yale University

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We hope to improve excited-state extraction for our research in beyond the standard model composite Higgs dynamics. We propose an algebraic method of extracting excited states from lattice correlation functions, which also is useful to lattice gauge theorists in general and to data analysts investigating exponentially decaying signals. Instead of fitting to a linear combination of exponentials, we adopt a variant of Prony's method to obtain M energies (exponential decay rates) by finding the roots of an Mth order polynomial. I will describe the challenges faced in this approach and demonstrate our attempts to overcome them.

Abstract Author(s): Kimberly Cushman, George Fleming