000191847 001__ 191847
000191847 005__ 20211110125429.0
000191847 0247_ $$2arXiv$$aarXiv:1410.8374
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000191847 037__ $$aPUBDB-2014-04035
000191847 0881_ $$aWUP-14-11; DESY 14-190; SFB-CPP-14-78; arXiv:1410.8374
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000191847 088__ $$2arXiv$$aarXiv:1410.8374
000191847 1001_ $$0P:(DE-H253)PIP1018357$$aBruno, Mattia$$b0$$eCorresponding Author
000191847 245__ $$aOn the Effects of Heavy Sea Quarks at Low Energies
000191847 260__ $$c2014
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000191847 520__ $$aWe present a factorisation formula for the dependence of light hadron masses and low energy hadronic scales on the mass $M$ of a heavy quark: apart from an overall factor $Q$, ratios such as $r_0(M)/r_0(0)$ are computable in perturbation theory at large $M$. The mass-independent factor $Q$ is obtained from the theory in the limit $M\to0$ and the decoupled theory with the heavy quark removed. The perturbation theory part is stable concerning different loop orders and our non-perturbative results match on quantitatively to the perturbative prediction. Upon taking ratios of different hadronic scales at the same mass, the perturbative function drops out and the ratios are given by the decoupled theory up to $M^{-2}$ corrections. Our present numerical results are obtained in a model calculation where there are no light quarks and a heavy doublet of quarks is decoupled. They are limited to masses a factor two below the charm. This is not large enough to see the $M^{-2}$ scaling predicted by the theory, but it is sufficient to verify - in the continuum limit - that the sea quark effects of quarks with masses around the charm mass are very small.
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000191847 7001_ $$aFinkenrath, Jacob$$b1
000191847 7001_ $$aKnechtli, Francesco$$b2
000191847 7001_ $$aLeder, Bjoern$$b3
000191847 7001_ $$0P:(DE-H253)PIP1003629$$aSommer, Rainer$$b4
000191847 7001_ $$0P:(DE-HGF)0$$aALPHA Collaboration$$b5$$eCollaboration author
000191847 8564_ $$yRestricted
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000191847 9141_ $$y2014
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