effective field theories; dispersion relations; isospin symmetry breaking; chiral perturbation theory
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Colangelo Gilberto, Hoferichter Martin, Procura Massimiliano, Stoffer Peter (2018), Hadronic light-by-light contribution to (g-2)μ: a dispersive approach, in EPJ Web Conf.
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At the present high-energy frontier (LHC) the window for possiblediscoveries of new particles is still open but rapidly closing down. Onthe other hand hints of possible discrepancies between Standard Model (SM)and experiment are all coming from precision measurements: there areseveral from LHCb and others at lower-energy experiments. In thecurrent particle physics landscape, the high-precision frontier isattracting considerable attention.One of the most resistant hints of a discrepancy with the SM remains thatof the $(g-2)$ of the muon. As it first showed up, the discrepancy betweenmeasurement and SM prediction was called a ``harbinger of new physics'',but now that the bounds on the masses of all beyond-the-Standard-Model(BSM) particles have moved up as a consequence of the unsuccessful searchesat the LHC, the same discrepancy has become a true puzzle. To clarify it, anew generation of $(g-2)_\mu$ measurements has been planned: the FermilabMuon $(g-2)$ experiment has just started running and a new experiment (Muon$g-2$/EDM experiment), based on a completely different experimentalconcept, is currently being developed at J-Parc in Japan.On the theory side, similar efforts are being put forward, in particularfor the hadronic contributions which are responsible for almost 100\% ofthe uncertainty in the SM prediction. We have recently proposed a newapproach to the so-called hadronic light-by-light scattering (HLbL)contribution to the $(g-2)_\mu$, based on dispersion relations, which aimsat a model-independent evaluation and at significantly reduceduncertainties with respect to earlier model calculations. Such an approachhas been deemed to be ``impossible'' for this particular contribution. In aseries of papers we have written in the last four years we have laid downthe theoretical basis for such an approach and have recently produced thefirst numerical estimate for part of the HLbL contribution. In thefollowing three years, we will concentrate our efforts in completing thisvery complex calculation and in carefully assessing the final uncertainty.The Fermilab experiment is aiming to release the first number for$(g-2)_\mu$ at the end of 2018, but the final result will take a few moreyears. The goal of this project is to significantly improve the accuracy ofthe theoretical evaluation of hadronic contributions to this quantitybefore the Fermilab experiments will produce its final result.