Abstract
We determine the 1/m and 1/m 2 spin-independent heavy quarkonium potentials in the unequal mass case with \( \mathcal{O} \)(α 3) and \( \mathcal{O} \)(α 2) accuracy, respectively. We discuss in detail different methods to calculate the potentials, and show the equivalence among them. In particular we obtain, for the first time, the manifestly gauge invariant 1/m and 1/m 2 potentials in terms of Wilson loops with next-to-leading order (NLO) precision. As an application of our results we derive the theoretical expression for the B c spectrum in the weak-coupling limit through next-to-next-to-next-to-leading order (N3LO).
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Peset, C., Pineda, A. & Stahlhofen, M. Potential NRQCD for unequal masses and the B c spectrum at N3LO. J. High Energ. Phys. 2016, 17 (2016). https://doi.org/10.1007/JHEP05(2016)017
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DOI: https://doi.org/10.1007/JHEP05(2016)017