Model-independent extrapolation of MUonE data with Pade and D-Log approximants

Author(s)

Boito, Diogo ; London, Cristiane Y. ; Masjuan, Pere ; Rojas, Camilo

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 110, n. 7, p. 18-pg., 2024-10-10.

Abstract

The MUonE experiment is designed to extract the hadronic contribution to the electromagnetic coupling in the spacelike region alpha had(t) from elastic e mu scattering. The leading-order hadronic vacuum polarization contribution to the muon g - 2, aHVP'LO mu , can then be obtained from a weighted integral over alpha had(t). This, however, requires knowledge of alpha had(t) in the whole domain of integration, which cannot be achieved by experiment. In this work, we propose to use Pade<acute accent> and D-Log Pade<acute accent> approximants as a systematic and modelindependent method to fit and reliably extrapolate the future MUonE experimental data, extracting aHVP'LO with a conservative but competitive uncertainty, using no or very limited external information. The method relies on fundamental analytic properties of the two-point correlator underlying aHVP'LO and upper bounds for the result for aHVP'LO mu . We demonstrate the reliability of the method using toy datasets generated from a model for alpha had(t) reflecting the expected statistics of the MUonE experiment. (AU)

• FAPESP's process: 21/06756-6 - Testing the standard model: precision QCD and muon g-2
• Grantee: Diogo Rodrigues Boito
• Support Opportunities: Research Grants - Young Investigators Grants - Phase 2
• FAPESP's process: 20/15532-1 - Quark-antiquark interaction: the top quark mass and the gluon propagator in the infrared regime
• Grantee: Cristiane Yumi Mise London
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 22/02328-2 - Rational approximants in g-2 of the muon
• Grantee: Cristiane Yumi Mise London
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate