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$e^+ e^- \to \mu^+ \mu^-$ in the Asymptotically Safe Standard Model

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arxiv 2412.13800 v2 pith:GMS7M3ZW submitted 2024-12-18 hep-ph gr-qchep-th

Álvaro Pastor-Gutiérrez , Jan M. Pawlowski , Manuel Reichert , Giacomo Ruisi This is my paper · ORCID
classification hep-phgr-qchep-th
keywords asymptoticallysafemodelstandardfunctionsgravitonunitarityamplitude
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We study the electron-positron to muon--anti-muon cross-section in the asymptotically safe Standard Model. In particular, we include the graviton contributions to the scattering amplitude, which is computed from momentum-dependent timelike one-particle-irreducible correlation functions. Specifically, we employ reconstruction techniques for the graviton spectral functions. We find that the full asymptotically safe quantum cross section decreases in the ultraviolet with the centre-of-mass energy, and is compatible with unitarity bounds. Importantly, our findings provide non-trivial evidence for the unitarity of the asymptotically safe Standard Model.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The fermion sector of the SMEFT from asymptotically safe gravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    In a toy model of one quark generation, asymptotically safe gravity predicts four-fermion SMEFT coefficients are either Planck-scale suppressed or zero, with exceptions only at very large gravitational coupling.

  2. Scaling solutions for gauge invariant flow equations in dilaton quantum gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Scaling solutions of a gauge-invariant functional flow equation support the dilaton quantum gravity fixed point, with Planck mass ~ φ² at large field and a stable negative kinetial in the infrared.

  3. Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

  4. Self-consistent graviton spectral function in Lorentzian quantum gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    A self-consistent spectral renormalisation group computation yields a positive, normalizable graviton spectral function with a massless pole and a multi-graviton continuum decaying as 1/(λ² log³ λ²).

  5. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

  6. Non-Perturbative $S$-matrix Renormalization

    hep-th 2025-08 conditional novelty 5.0 of 10

    An exact, polynomial flow equation for the S-matrix generating functional of a scalar field, equivalent to the Polchinski/Wetterich flows under a change of variables, with on-shell extraction at the classical equation...

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