Special Article - New Tools and Techniques
Numerically computing QCD Laplace sum-rules using pySecDec
Department of Physics, University of the Fraser Valley, V2S 7M8, Abbotsford, British Columbia, Canada
* e-mail: email@example.com
Accepted: 22 January 2019
Published online: 28 February 2019
pySecDec is a program that numerically calculates dimensionally regularized integrals. We use pySecDec to compute QCD Laplace sum-rules for pseudoscalar (i.e., ) charmonium hybrids, and compare the results to sum-rules computed using analytic results for dimensionally regularized integrals. We find that the errors due to the use of numerical integration methods are negligible compared to the uncertainties in the sum-rules stemming from the uncertainties in the parameters of QCD, e.g., the coupling constant, quark masses, and condensate values. Also, we demonstrate that numerical integration methods can be used to calculate finite-energy and Gaussian sum-rules in addition to Laplace sum-rules.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019