Speaker
Description
We compute a real-time inclusive scattering processes from the spectral function of a Euclidean two-point correlation function in the two-dimensional O(3) model. The intractable inverse problem is overcome using a recently-proposed algorithm to compute the desired spectral function smeared with a variety of finite-width kernels. Systematic errors due to finite volume, continuum limit, and spectral reconstruction are demonstrably controlled, enabling a determination of the smeared spectral functions at energies exceeding the four-particle production threshold. These results are in agreement with the known exact spectral function smeared with the corresponding kernels. Finally, the unsmeared spectral function is computed by extrapolation of the numerical data to the zero-smearing-width limit. Everything discussed here is (in principle) applicable in QCD to determine similar inclusive rates such as the R-ratio.
