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The two-loop perturbative correction to the (g-2)$_{\mu}$ HLbL at short distances

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arxiv 2101.09169 v2 pith:53D7VRWW submitted 2021-01-22 hep-ph

Johan Bijnens , Nils Hermansson-Truedsson , Laetitia Laub , Antonio Rodríguez-Sánchez This is my paper · ORCID
classification hep-ph
keywords correctionloopperturbativequarkbeenexpansionhadronichlbl
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The short-distance behaviour of the hadronic light-by-light (HLbL) contribution to $(g-2)_{\mu}$ has recently been studied by means of an operator product expansion in a background electromagnetic field. The leading term in this expansion has been shown to be given by the massless quark loop, and the non-perturbative corrections are numerically very suppressed. Here, we calculate the perturbative QCD correction to the massless quark loop. The correction is found to be fairly small compared to the quark loop as far as we study energy scales where the perturbative running for the QCD coupling is well-defined, i.e.~for scales $\mu\gtrsim 1\, \mathrm{GeV}$. This should allow to reduce the large systematic uncertainty associated to high-multiplicity hadronic states.

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Cited by 5 Pith papers

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