TY - JOUR AU - Bruno, Mattia AU - Finkenrath, Jacob AU - Knechtli, Francesco AU - Leder, Björn AU - Sommer, Rainer TI - Effects of Heavy Sea Quarks at Low Energies JO - Physical review letters VL - 114 IS - 10 SN - 1079-7114 CY - College Park, Md. PB - APS M1 - PUBDB-2016-00412 M1 - WUP-14-11 M1 - DESY 14-190 M1 - SFB-CPP-14-78 M1 - arXiv:1410.8374 SP - 102001 PY - 2015 AB - 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 r<sub>0</sub>(M)/r<sub>0</sub>(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<sup>−2</sup> 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. LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000352073400009 C6 - pmid:25815925 DO - DOI:10.1103/PhysRevLett.114.102001 UR - https://bib-pubdb1.desy.de/record/293257 ER -