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Use and misuse of ChPT in the heavy-light systems

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arxiv 0710.3496 v1 pith:NPTA7JCK submitted 2007-10-18 hep-lat hep-ph

Use and misuse of ChPT in the heavy-light systems

classification hep-lat hep-ph
keywords chptheavy-lightstatesappliedlightersystemsaccordingadequate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the range of validity of ChPT when applied to the systems of heavy-light mesons. Having in mind the recent experimental evidence according to which the heavy-light scalar and axial states are closer to the ground states than anticipated, we revisited the prediction for the chiral behavior of the B-Bbar mixing amplitude and examined the impact of nearness of the positive parity states. We conclude that the standard ChPT expressions with Nf=3 light flavours are not useful in guiding the extrapolation of hadronic quantities computed on the lattice. Instead those derived in HMChPT with Nf=2, i.e., including only the pion loops, are still adequate as long as they are applied to the pions lighter than 350 MeV, or the quarks lighter than a third of the physical strange quark mass.

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