2023
DOI: 10.21468/scipostphys.15.1.021
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High-precision muon decay predictions for ALP searches

Abstract: We present an improved theoretical prediction of the positron energy spectrum for the polarised Michel decay \mu^+\to e^+ \nu_e\bar{\nu}_\muμ+→e+νeν‾μ. In addition to the full next-to-next-to-leading order correction of order \alpha^2α2 in the electromagnetic coupling, we include logarithmically enhanced terms at even higher orders. Logarithms due to collinear emission are included at next-to-leading accuracy up to order \alpha^4α4. At the endpoint of the Michel spectrum, soft photon emission results in large … Show more

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Cited by 6 publications
(3 citation statements)
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References 109 publications
(172 reference statements)
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“…Flavor Probes of Axion Dark Matter Robert Ziegler of the SM background close to the endpoint of the Michel spectrum [31]. Present bounds on all other flavor transitions are weaker, but Belle II has the potential to improve bounds on B-meson and τ-decay by orders of magnitudes, reaching scales up to 10 9 GeV.…”
Section: Pos(discrete2022)086mentioning
confidence: 99%
“…Flavor Probes of Axion Dark Matter Robert Ziegler of the SM background close to the endpoint of the Michel spectrum [31]. Present bounds on all other flavor transitions are weaker, but Belle II has the potential to improve bounds on B-meson and τ-decay by orders of magnitudes, reaching scales up to 10 9 GeV.…”
Section: Pos(discrete2022)086mentioning
confidence: 99%
“…At the endpoint of the positron energy spectrum, the emission of soft photons results in large logarithms that are resummed up to next-tonext-to-leading logarithmic (NNLL) accuracy. The details of both calculations with an evaluation of the theoretical error can be found in [5]. The result for 𝜇 + → 𝑒 + 𝜈 𝑒 ν𝜇 is shown in figure 1.…”
Section: Theoretical Predictionsmentioning
confidence: 99%
“…where A denotes the energy acceptance function and S the detector response function, which can be parametrised according to the detector simulations [1,2]. An indication of the expected sensitivity on the branching ratio of 𝜇 + → 𝑒 + 𝑋 can be estimated by applying the cut-and-count analysis described in [5] to P. Assuming a massless ALP with a 𝑉 + 𝐴 coupling to leptons, the results suggest a branching ratio sensitivity of about 2 • 10 −6 for MEG II and 10 −8 for Mu3e, which can rely on more statistics. These predictions can be compared with the upper limit of 2.5 • 10 −6 at 90% C.L.…”
Section: Expected Sensitivitymentioning
confidence: 99%