Note on an Infinite-Mass Limit of the Higgs Model

We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass limit of QCD. This study is interesting because it can be used for future developments within the framework of Effective Field Theories (EFTs) and because it can be combined with other techniques, like lattice QCD or AdS/CFT, to gain non-perturbative information about the evolution of quarkonium in a medium. We also study the obtained expressions in the large Nc limit. This allows us to learn lessons that are useful to simplify phenomenological models of quarkonium in a plasma.

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Static and dynamic properties of heavy light mesons in infinite mass limit

Pramana ◽

10.1007/bf02847009 ◽

1996 ◽

Vol 46 (5) ◽

pp. 349-355 ◽

Cited By ~ 7

Author(s):

D K Choudhury ◽

Pratibha Das

Keyword(s):

Dynamic Properties ◽

Mass Limit ◽

Infinite Mass ◽

Light Mesons

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Uraltsev's and other sum rules, theory and phenomenology of D**'s

International Journal of Modern Physics A ◽

10.1142/s0217751x15430095 ◽

2015 ◽

Vol 30 (10) ◽

pp. 1543009 ◽

Cited By ~ 2

Author(s):

Alain Le Yaouanc ◽

Olivier Pène

Keyword(s):

Lattice Qcd ◽

Quark Model ◽

Sum Rules ◽

Experimental Situation ◽

Semileptonic Decays ◽

Physical Situation ◽

Mass Limit ◽

Quark Masses ◽

Infinite Mass ◽

Quark Models

We first discuss Uraltsev's and other sum rules constraining the B → D**(L = 1) weak transitions in the infinite mass limit, and compare them with dynamical approaches in the same limit. After recalling these well established facts, we discuss how to apply infinite mass limit to the physical situation. We provide predictions concerning semileptonic decays and non-leptonic ones, based on quark models. We then present in more detail the dynamical approaches: the relativistic quark model à la Bakamjian–Thomas and lattice QCD. We summarise lattice QCD results in the infinite mass limit and compare them to the quark model predictions. We then present preliminary lattice QCD results with finite b and c quark masses. A systematic comparison between theory and experiment is performed. We show that some large discrepancies exist between different experiments. Altogether the predictions at infinite mass are in fair agreement with experiment for non-leptonic decays contrary to what happens for semileptonic decays. We conclude by considering the prospects to clarify both the experimental situation, the theoretical one and the comparison between both.

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