Abstract
We combine the known asymptotic behaviour of the QCD perturbation series expansion, which relates the pole mass of a heavy quark to the MS‾ mass, with the exact series coefficients up to the four-loop order to determine the ultimate uncertainty of the top-quark pole mass due to the renormalon divergence. We perform extensive tests of our procedure by varying the number of colours and flavours, as well as the scale of the strong coupling and the MS‾ mass. Including an estimate of the internal bottom and charm quark mass effect, we conclude that this uncertainty is around 110 MeV. We further estimate the additional contribution to the mass relation from the five-loop correction and beyond to be around 300 MeV.
Highlights
The top quark mass is a fundamental parameter of the Standard Model (SM)
It is remarkable that the perturbative relation between the pole and MS mass of a heavy quark appears to be dominated by the leading infrared renormalon already in low orders [8, 9]
Given the MS mass, the top quark pole mass is determined by this relation with an accuracy of 0.92 per mil, half of which is due to the irreducible uncertainty of the relation itself
Summary
The top quark mass is a fundamental parameter of the Standard Model (SM). Due to its large size, it has non-negligible impact in the precision tests of the SM. It is remarkable that the perturbative relation between the pole and MS mass of a heavy quark appears to be dominated by the leading infrared renormalon already in low orders [8, 9]. This observation was used in previous work [10, 11], and more recently in [12, 13] to estimate the unknown normalization of the leading IR renormalon, and mostly applied in the context of bottom physics. This leads to an expression for the mass conversion factor including an estimate of the contributions beyond four loops, and an estimate of the irreducible error
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
