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The calculation of the neutron electric dipole moment within effective field theories for physics beyond the Standard Model requires non-perturbative hadronic matrix elements of effective operators composed of quark and gluon fields. In…

High Energy Physics - Lattice · Physics 2023-11-17 Òscar L. Crosas , Christopher J. Monahan , Matthew D. Rizik , Andrea Shindler , Peter Stoffer

The translation of experimental limits on the neutron electric dipole moment into constraints on heavy $CP$-violating physics beyond the Standard Model requires knowledge about non-perturbative matrix elements of effective operators, which…

High Energy Physics - Lattice · Physics 2023-08-31 Jona Bühler , Peter Stoffer

The low-energy effective field theory below the electroweak scale (LEFT) describes the effects at low energies of both the weak interaction and physics beyond the Standard Model. We study the one-loop renormalization of the LEFT in the 't…

High Energy Physics - Phenomenology · Physics 2024-02-19 Luca Naterop , Peter Stoffer

The gradient-flow formalism proves to be a useful tool in lattice calculations of quantum chromodynamics. For example, it can be used as a scheme to renormalize composite operators by inverting the short-flow-time expansion of the…

High Energy Physics - Lattice · Physics 2024-11-05 Janosch Borgulat , Robert V. Harlander , Jonas T. Kohnen , Fabian Lange

Left-Right (LR) models are extensions of the Standard Model where left-right symmetry is restored at high energies, and which are strongly constrained by kaon mixing described in the framework of the $|\Delta S|=2$ effective Hamiltonian. We…

High Energy Physics - Phenomenology · Physics 2016-09-21 Véronique Bernard , Sébastien Descotes-Genon , Luiz Vale Silva

We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number. In…

High Energy Physics - Phenomenology · Physics 2026-02-05 Luca Naterop , Peter Stoffer

We review our recent study on the QCD static force using gradient flow at next-to-leading order in the strong coupling. The QCD static force has the advantage of being free of the $O(\Lambda_{\text{QCD}})$ renormalon appearing in the static…

High Energy Physics - Phenomenology · Physics 2023-01-11 Xiang-Peng Wang

We compute the QCD static force and potential using gradient flow at next-to-leading order in the strong coupling. The static force is the spatial derivative of the static potential: it encodes the QCD interaction at both short and long…

High Energy Physics - Phenomenology · Physics 2022-02-02 Nora Brambilla , Hee Sok Chung , Antonio Vairo , Xiang-Peng Wang

The quark chromoelectric dipole (qCEDM) operator is a CP-violating operator describing, at hadronic energies, beyond-the-standard-model contributions to the electric dipole moment of particles with nonzero spin. In this paper we define…

High Energy Physics - Lattice · Physics 2022-04-15 Emanuele Mereghetti , Christopher J. Monahan , Matthew D. Rizik , Andrea Shindler , Peter Stoffer

The hadronic chiral Lagrangian can be matched from the low energy effective field theory (LEFT) operators at the quark level. Traditionally, as the mass dimension of the LEFT operators increases, more and more external sources are…

High Energy Physics - Phenomenology · Physics 2025-01-20 Chuan-Qiang Song , Hao Sun , Jiang-Hao Yu

The gradient flow is a valuable tool for the lattice community, with applications from scale-setting to implementing chiral fermions. Here I focus on the gradient flow as a means to suppress power-divergent mixing. Power-divergent mixing…

High Energy Physics - Lattice · Physics 2015-12-02 Christopher Monahan

We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman rules of the five-dimensional field theory and the…

High Energy Physics - Lattice · Physics 2022-10-12 Johannes Artz , Robert V. Harlander , Fabian Lange , Tobias Neumann , Mario Prausa

The chromo-magnetic dipole operator is expressed in terms of operators at finite flow time in the gradient-flow formalism. The matching coefficients are evaluated through next-to-next-to-leading order QCD.

High Energy Physics - Lattice · Physics 2022-12-21 J. Borgulat , R. Harlander , M. D. Rizik , A. Shindler

We present the first part of a systematic calculation of the two-loop anomalous dimensions in the low-energy effective field theory (LEFT): the effects at dimension five in the power counting. Our calculation is performed in a basis with…

High Energy Physics - Phenomenology · Physics 2025-06-18 Luca Naterop , Peter Stoffer

We study thermodynamic properties of Nf=2+1 QCD on the lattice adopting O(a)-improved Wilson quark action and Iwasaki gauge action. To cope with the problems due to explicit violation of the Poincare and chiral symmetries, we apply the…

High Energy Physics - Lattice · Physics 2020-10-02 Yusuke Taniguchi , Shinji Ejiri , Kazuyuki Kanaya , Masakiyo Kitazawa , Hiroshi Suzuki , Takashi Umeda

Off-lightcone Wilson-line operators are constructed using local operators connected by time-like or space-like Wilson lines, which ensure gauge invariance. Off-lightcone Wilson-line operators have broad applications in various contexts. For…

High Energy Physics - Phenomenology · Physics 2024-07-22 Nora Brambilla , Xiang-Peng Wang

The gradient-flow formalism provides a framework for the direct determination of moments of parton distribution functions (PDFs) from lattice QCD calculations. Their conversion from the gradient-flow scheme to $\overline{\text{MS}}$…

High Energy Physics - Phenomenology · Physics 2025-11-24 Robert V. Harlander , Jonas T. Kohnen , Andrea Shindler

The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level scattering amplitudes. This is achieved by directly applying the Residue Theorem to the loop-energy-integration.…

High Energy Physics - Phenomenology · Physics 2015-09-25 Sebastian Buchta

The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level.…

High Energy Physics - Phenomenology · Physics 2025-03-26 J. Borgulat , N. Felten , R. V. Harlander , J. T. Kohnen

We present the automation of one-loop computations in the standard-model effective field theory at dimension six. Our general implementation, dubbed SMEFT@NLO, covers all types of operators: bosonic, two- and four-fermion ones. Included…

High Energy Physics - Phenomenology · Physics 2021-06-09 Céline Degrande , Gauthier Durieux , Fabio Maltoni , Ken Mimasu , Eleni Vryonidou , Cen Zhang
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