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arXiv · 1511.08210

Potential NRQCD for unequal masses and the $B_c$ spectrum at NNNLO

Clara Peset·Antonio Pineda·Maximilian Stahlhofen
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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 (N$^3$LO).

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Clara Peset, Antonio Pineda, Maximilian Stahlhofen. 2018-09-23. Potential NRQCD for unequal masses and the $B_c$ spectrum at NNNLO. https://doi.org/10.1007/jhep05(2016)017

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