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ITU: Netzbevölkerung wächst, digitale Kluften bleiben
Die weltweite Netzbevölkerung wächst langsam, aber stetig. Doch bleiben erhebliche Unterschiede bei den Zugangsmöglichkeiten vor allem in ärmeren Ländern.
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One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
Jihong Huang, Shun Zhou
https://arxiv.org/abs/2509.12844 https://arxiv.org/pdf/2…

One-loop Renormalization of the Type-I Seesaw Model in the On-shell Scheme
In a previous paper arxiv:2507.21691, we have carried out one-loop renormalization of the type-I seesaw model in the modified minimal-subtraction ($\overline{\rm MS}$) scheme. In the present one, we continue to renormalize the type-I seesaw model in the on-shell scheme. Such an investigation is mainly motivated by the fact that the on-shell scheme has been widely adopted in the renormalization of the standard electroweak theory and implemented for its precision tests. We first specify the physi…

Sigma model renormalisation group flows, singularities and some remarks on cosmology
Georgios Papadopoulos
https://arxiv.org/abs/2509.13092 https://arxiv.o…

Sigma model renormalisation group flows, singularities and some remarks on cosmology
We investigate the properties of the renormalisation group (RG) flow of two-dimensional sigma models with a generic metric coupling by utilising known results for the Ricci flow. We point out that on many occasions the RG flow develops singularities, due to strong coupling behaviour, before it reaches a UV or an IR fixed point. We illustrate our analysis with several examples. We give particular emphasis to type I singularities, where the length of the curvature of the sigma model target space …

Adiabatic Klein-Gordon Dynamics for the Renormalized Nelson Model
Morris Brooks, David Mitrouskas
https://arxiv.org/abs/2509.14226 https://arxiv.org/pdf/25…

Adiabatic Klein-Gordon Dynamics for the Renormalized Nelson Model
We study the renormalized Nelson model in a semiclassical regime where the field becomes classical while the particle remains quantum. The degree of classicality is measured by a small parameter $\varepsilon \ll 1$. In this scaling the particle evolves on microscopic times, whereas the field exhibits nontrivial dynamics only on the macroscopic scale $t=\mathcal{O}(\varepsilon^{-2})$. The natural semiclassical model is the coupled Schrödinger-Klein-Gordon (SKG) system, which encodes the time-sc…

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Snapshot renormalization group for quantum matter
Laurin Brunner, Tobias Wiener, Tiago Mendes-Santos, Reyhaneh Khasseh, Markus Heyl
https://arxiv.org/abs/2510.12415 https://

Snapshot renormalization group for quantum matter
Recent advances in quantum simulator experiments enable unprecedented access to quantum many-body states through snapshot measurements of individual many-body configurations. Here, we introduce an exact renormalization group (RG) transformation that can be directly applied to any such snapshot dataset. Our SnapshotRG operates in real space, but can also be directly translated to an RG in the abstract dataspace of measurement configurations, providing a framework for the characterization of quan…

Leading-renormalon-free Trace-anomaly-subtracted $\sigma$-mass for Heavy Quarks up to Five Loops in QCD
Long Chen, Cong Zhao
https://arxiv.org/abs/2509.10786 https://

Leading-renormalon-free Trace-anomaly-subtracted $σ$-mass for Heavy Quarks up to Five Loops in QCD
We demonstrate that the leading IR-renormalon divergence in the perturbative pole mass of a massive quark resides entirely in the contribution from the trace anomaly of the energy-momentum tensor in QCD. Consequently, the recently proposed trace-anomaly-subtracted $σ$-mass definition for heavy quarks is not only scheme- and scale-invariant, but also free from the leading IR-renormalon ambiguity. We further derive a formula connecting this $σ$-mass to the perturbative pole mass, solely in term…

Perturbative QCD below charm threshold: theory and tensions with $e^ e^-$ data
Diogo Boito, Marcelle Caram
https://arxiv.org/abs/2509.12956 https://arxiv.o…

Perturbative QCD below charm threshold: theory and tensions with $e^+e^-$ data
In this paper we carefully assess the theory prediction for $R(s)$ below charm threshold, $R_{uds}$, and address tensions with the existing data, notably with the 2021 BES-III results. We analyze the uncertainty of the perturbative QCD description in the light of renormalons making use of the large-$β_0$ limit and the renormalon-free gluon-condensate scheme. We provide a reliable estimate of the duality violation contributions; we show they are sizable up to $2.5$~GeV and improve the agreement…

The On-shell Gravity Action and Linear Dilaton Holography
Andrea Dei, Kiarash Naderi, Savdeep Sethi
https://arxiv.org/abs/2508.10998 https://arxiv.org/pdf/…

The On-shell Gravity Action and Linear Dilaton Holography
Computing the Euclidean spacetime action on-shell provides a useful way of both testing holographic proposals and determining the string theory sphere partition function. We consider families of three-dimensional linear dilaton spacetimes for which there are holographic proposals that share features of a $T\overline{T}$-deformed CFT. We extend the holographic renormalization program beyond AdS to this class of geometries by identifying the boundary terms needed for a well-defined variational pr…

Gradient-flowed operator product expansion without IR renormalons
Martin Beneke (TU Munich), Hiromasa Takaura (Kyoto University)
https://arxiv.org/abs/2510.12193 https://…

Gradient-flowed operator product expansion without IR renormalons
A long-standing problem concerns the question how to consistently combine perturbative expansions in QCD with power corrections in the context of the operator product expansion (OPE), since the former exhibit ambiguities due to infrared renormalons, which are of the same order as the power corrections. We propose to use the gradient flow time $1/\sqrt{t}$ as a factorization scale and to express the OPE in terms of IR renormalon-free subtracted perturbative expansions and unambiguous matrix elem…