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Related papers: Renormalizing Two-Fermion Operators in the SMEFT v…

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We revisit the renormalisation of models with two U(1) gauge symmetries, in a formulation with non-canonical gauge kinetic terms which is covariant under field reparametrisations among the two gauge bosons. This approach is convenient to…

High Energy Physics - Phenomenology · Physics 2026-05-20 Sacha Davidson , Martin Gorbahn

Supergeometric Quantum Field Theories (SG-QFTs) are theories that go beyond the standard supersymmetric framework, since they allow for general scalar-fermion field transformations on the configuration space of a supermanifold, without…

High Energy Physics - Theory · Physics 2024-10-04 Viola Gattus , Apostolos Pilaftsis

We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion…

High Energy Physics - Phenomenology · Physics 2021-05-05 Qingjun Jin , Ke Ren , Gang Yang

We compute the contributions of CP-conserving operators in the dimension-six SMEFT to the two-loop renormalisation constants of quark and gluon fields in the $\overline{\textrm{MS}}$-scheme. Specifically, we consider the top-quark…

High Energy Physics - Phenomenology · Physics 2025-03-05 Claude Duhr , Andres Vasquez , Giuseppe Ventura , Eleni Vryonidou

We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order $v^4/\Lambda^4$, with $v\sim 246$ GeV being the electroweak scale and $\Lambda$ the unknown new physics…

High Energy Physics - Phenomenology · Physics 2023-09-29 Supratim Das Bakshi , Mikael Chala , Álvaro Díaz-Carmona , Guilherme Guedes

The next-to-leading order (NLO) Standard Model Effective Field Theory (SMEFT) renormalization group equations are needed to account for phenomenologically relevant operator mixing and ensure renormalization scale independence in NLO…

High Energy Physics - Phenomenology · Physics 2026-03-19 Lukas Born , Javier Fuentes-Martín , Anders Eller Thomsen

We present general four-loop template $\beta$-functions and anomalous field dimensions for renormalisable scalar-fermion theories in three dimensions. By imposing $\mathcal{N}=1$ and $\mathcal{N}=2$ supersymmetry, we obtain relations…

High Energy Physics - Theory · Physics 2025-12-03 York Schröder , Emmanuel Stamou , Tom Steudtner , Max Uetrecht

We compute the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT). We adopt the on-shell framework, where the RGEs are obtained from the…

High Energy Physics - Phenomenology · Physics 2025-12-29 Chao Wu , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

The Standard Model Effective Field Theory (SMEFT) provides a robust framework for probing deviations in the couplings of Standard Model particles from their theoretical predictions. This framework relies on an expansion in…

High Energy Physics - Phenomenology · Physics 2025-01-22 Nilabhra Adhikary , Tisa Biswas , Joydeep Chakrabortty , Christoph Englert , Michael Spannowsky

We calculate a set of one-loop corrections to $h\to b\bar b$ and $h\to \tau\bar \tau$ decays in the dimension-6 Standard Model effective field theory (SMEFT). In particular, working in the limit of vanishing gauge couplings, we calculate…

High Energy Physics - Phenomenology · Physics 2016-10-26 Rhorry Gauld , Benjamin D. Pecjak , Darren J. Scott

The application of the exact renormalisation group to symmetric as well as asymmetric many-fermion systems with a short-range attractive force is studied. Assuming an ansatz for the effective action with effective bosons, describing pairing…

High Energy Physics - Phenomenology · Physics 2008-11-26 Boris Krippa

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya

We compute the two-loop renormalization functions, in the RI' scheme, of local bilinear quark operators $\bar\psi\Gamma\psi$, where $\Gamma$ denotes the Scalar and Pseudoscalar Dirac matrices, in the lattice formulation of QCD. We consider…

High Energy Physics - Lattice · Physics 2008-11-26 A. Skouroupathis , H. Panagopoulos

We compute the renormalization functions on the lattice, in the RI' scheme, of local bilinear quark operators $\bar{\psi}\Gamma\psi$, where $\Gamma= 1, \gamma_5, \gamma_\mu, \gamma_5\gamma_\mu, \gamma_5\sigma_{\mu\nu}$. This calculation is…

High Energy Physics - Lattice · Physics 2010-02-19 A. Skouroupathis , H. Panagopoulos

We argue that the renormalizability of interacting quantum field theory on the curved-space background with an additional external antisymmetric tensor (two-form) field requires nonminimal interaction of the antisymmetric field with quantum…

High Energy Physics - Theory · Physics 2025-09-09 Ioseph L. Buchbinder , Thomas M. Sangy , Ilya L. Shapiro

Making a combined use of bosonization and fermionization techniques, we build nonlocal transformations between dual fermion operators, describing junctions of strongly interacting spinful one-dimensional quantum wires. Our approach allows…

Strongly Correlated Electrons · Physics 2015-09-30 Domenico Giuliano , Andrea Nava

We develop a basis--covariant one--loop renormalization framework for two interacting real scalars in $D=4-\epsilon$ with the most general two--derivative Lorentz--violating quadratic form, allowing anisotropic spatial gradients and…

High Energy Physics - Theory · Physics 2026-02-03 Dmitry S. Ageev , Yulia A. Ageeva

In this paper we produce further specification of the geometric and algebraic properties of the earlier introduced superdimensional dual-covariant field theory (SFT) in a N-dimensional manifold [1] as an approach to a unified field theory…

General Physics · Physics 2015-12-08 Yaroslav Derbenev

We study whether higher-dimensional operators in effective field theories, in particular in the Standard Model Effective Field Theory (SMEFT), can source gauge anomalies via the modification of the interactions involved in triangle…

High Energy Physics - Phenomenology · Physics 2021-06-30 Quentin Bonnefoy , Luca Di Luzio , Christophe Grojean , Ayan Paul , Alejo N. Rossia

Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge…

High Energy Physics - Phenomenology · Physics 2025-05-06 Eric Oevermann , Adrian Koenigstein , Stefan Floerchinger