Report
Lattice calculation of the R-ratio smeared with Gaussian kernel
| العنوان: | Lattice calculation of the R-ratio smeared with Gaussian kernel |
|---|---|
| المؤلفون: | Alexandrou, Constantia, Bacchio, Simone, De Santis, Alessandro, Dimopoulos, Petros, Finkenrath, Jacob, Frezzotti, Roberto, Gagliardi, Giuseppe, Garofalo, Marco, Hadjiyiannakou, Kyriakos, Kostrzewa, Bartosz, Jansen, Karl, Lubicz, Vittorio, Petschlies, Marcus, Sanfilippo, Francesco, Simula, Silvano, Tantalo, Nazario, Urbach, Carsten, Wenger, Urs |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Phenomenology |
| مصطلحات موضوعية: | High Energy Physics - Lattice, High Energy Physics - Phenomenology |
| الوصف: | The ratio $R(E)$ of the cross-sections for $e^+e^-\to$ hadrons and $e^+e^-\to \mu^+\mu^-$ is a valuable energy-dependent probe of the hadronic sector of the Standard Model. Moreover, the experimental measurements of $R(E)$ are the inputs of the dispersive calculations of the leading hadronic vacuum polarization contribution to the muon $g-2$ and these are in significant tension with direct lattice calculations and with the muon $g-2$ experiment. In this talk we discuss the results of our first-principles lattice study of $R(E)$. By using a recently proposed method for extracting smeared spectral densities from Euclidean lattice correlators, we have calculated $R(E)$ convoluted with Gaussian kernels of different widths $\sigma$ and central energies up to $2.5$ GeV. Our theoretical results have been compared with the KNT19 [1] compilation of experimental results smeared with the same Gaussian kernels and a tension (about three standard deviations) has been observed for $\sigma\sim 600$ MeV and central energies around the $\rho$-resonance peak. Comment: Contribution to the 39th International Symposium on Lattice Field Theory (Lattice2022), 8th-13th August, 2022, Bonn, Germany |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2212.12493 |
| رقم الانضمام: | edsarx.2212.12493 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |