We present a factorization formula for the dependence of light hadron masses and low energy hadronic scales on the mass M of a heavy quark: apart from an overall mass-independent factor Q, ratios such as r0(M)/r0(0) are computable in perturbation theory at large M. The perturbation theory part is stable concerning different loop orders. Our nonperturbative Monte Carlo results obtained in a model calculation, where a doublet of heavy quarks is decoupled, match quantitatively to the perturbative prediction. Upon taking ratios of different hadronic scales at the same mass, the perturbative function drops out and the ratios are given by the decoupled theory up to M-2 corrections. We verify - in the continuum limit - that the sea quark effects of quarks with masses around the charm mass are very small in such ratios.
Bruno, M., Finkenrath, J., Knechtli, F., Leder, B., Sommer, R. (2015). Effects of heavy sea quarks at low energies. PHYSICAL REVIEW LETTERS, 114(10) [10.1103/PhysRevLett.114.102001].
Effects of heavy sea quarks at low energies
Bruno M.;
2015
Abstract
We present a factorization formula for the dependence of light hadron masses and low energy hadronic scales on the mass M of a heavy quark: apart from an overall mass-independent factor Q, ratios such as r0(M)/r0(0) are computable in perturbation theory at large M. The perturbation theory part is stable concerning different loop orders. Our nonperturbative Monte Carlo results obtained in a model calculation, where a doublet of heavy quarks is decoupled, match quantitatively to the perturbative prediction. Upon taking ratios of different hadronic scales at the same mass, the perturbative function drops out and the ratios are given by the decoupled theory up to M-2 corrections. We verify - in the continuum limit - that the sea quark effects of quarks with masses around the charm mass are very small in such ratios.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.