Contribution
Improved evaluation of the pi^0/eta/eta' contributions to a_mu^{P-pole,HLbL} in RChT
Speakers
- Mr. Emilio José ESTRADA GONZÁLEZ
Primary authors
- Mr. Emilio José ESTRADA GONZÁLEZ (Cinvestav)
Content
orking with Resonance Chiral Theory, within the two resonance multiplets saturation scheme, we satisfy leading (and some subleading) chiral and asymptotic QCD constraints and accurately fit simultaneously the $\pi^{0},\eta,\eta^{\prime}$ transition form factors, for single and double virtuality. In the latter case, we supplement the few available measurements with lattice data to ensure a faithful description. Mainly due to the new results for the doubly virtual case, we improve over existing descriptions for the $\eta$ and $\eta^\prime$. Our evaluation of the corresponding pole contributions to the hadronic light-by-light piece of the muon $g-2$ read: $a_\mu^{\pi^{0}\text{-}\rm{pole}}=\left(60.4\pm0.5^{+3.2}{-1.8}\right)\times10^{-11}$, $a\mu^{\eta\text{-}\mathrm{pole}}=\left(15.2\pm0.5^{+1.1}{-0.7}\right)\times10^{-11}$ and $a\mu^{\eta^\prime\text{-}\rm{pole}}=\left(14.4\pm0.8^{+1.4}{-1.0}\right)\times10^{-11}$, for a total of $a\mu^{\pi^0+\eta+\eta^{\prime}\text{-}\rm{pole}}=\left(90.0\pm1.1^{+3.7}_{-2.2}\right)\times10^{-11}$, where the first and second error are the statistical and systematic uncertainties, respectively.
Work in collaboration with Sergi Gonzàlez-Solís, Adolfo Guevara & Pablo Roig