WW Scattering Parameters via Pseudoscalar Phase Shifts
Thomas Appelquist, Ron Babich, Richard C. Brower, Michael I. Buchoff,, Michael Cheng, Michael A. Clark, Saul D. Cohen, George T. Fleming, Joe, Kiskis, Meifeng Lin, Ethan T. Neil, James C. Osborn, Claudio Rebbi, David, Schaich, Sergey Syritsyn, Gennady Voronov, Pavlos Vranas
TL;DR
This study uses lattice simulations to analyze pseudoscalar scattering in an SU(3) gauge theory, providing insights into WW scattering parameters relevant for particle physics experiments.
Contribution
It presents the first lattice-based calculations of pseudoscalar scattering lengths for theories with two and six flavors, connecting to WW scattering phenomenology.
Findings
Six-flavor scattering is less repulsive than two-flavor scattering.
Scattering lengths are similar when the pseudoscalar mass to decay constant ratio is fixed.
Estimates suggest potential detectability of WW scattering parameters.
Abstract
Using domain-wall lattice simulations, we study pseudoscalar-pseudoscalar scattering in the maximal isospin channel for an SU(3) gauge theory with two and six fermion flavors in the fundamental representation. This calculation of the S-wave scattering length is related to the next-to-leading order corrections to WW scattering through the low-energy coefficients of the chiral Lagrangian. While two and six flavor scattering lengths are similar for a fixed ratio of the pseudoscalar mass to its decay constant, six-flavor scattering shows a somewhat less repulsive next-to-leading order interaction than its two-flavor counterpart. Estimates are made for the WW scattering parameters and the plausibility of detection is discussed.
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