Uncovering the Root of LEFT in SMEFT

Abstract

At energies below the electroweak scale, baryon number $B$ and lepton number $L$ violating processes are of significant importance in identifying the nature of UV extensions of the Standard Model. The imprint of UV theories on low-energy measurements can be calculated to a high accuracy using the theoretical framework of the Low Energy Effective Theory (LEFT). Using $B,L$ and the operators' dimensions as classifying characteristics, we construct a network connecting operator classes of the LEFT with the Standard Model Effective Theory (SMEFT). Following the links of this network, the contact interactions described by the effective operators of LEFT can be unambiguously embedded into those of SMEFT, which enables us to constrain the possible realisations of UV theories. In turn, this can help to prioritise low energy measurements with the aim of comprehensively testing all classes of LEFT and SMEFT operators.

arXiv comment7 pages, 4 figures, Accepted version

References in corpus (22)

• Progress in Electroweak Baryogenesis
• Theory of Neutrinos: A White Paper
• Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
• Dimension-8 Operators in the Standard Model Effective Field Theory
• New Electron Beam-Dump Experiments to Search for MeV to few-GeV Dark Matter
• Low-energy effective field theory below the electroweak scale: matching at one loop
• Search for pair and single production of vectorlike quarks in final states with at least one $Z$ boson decaying into a pair of electrons or muons in $pp$ collision data collected with the ATLAS detector at $\sqrt{s}=13$ TeV
• Dark Matter Search in Nucleon, Pion, and Electron Channels from a Proton Beam Dump with MiniBooNE
• CoDEx: Wilson coefficient calculator connecting SMEFT to UV theory
• Baryon Number, Lepton Number, and Operator Dimension in the Standard Model
• White Paper on New Opportunities at the Next-Generation Neutrino Experiments (Part 1: BSM Neutrino Physics and Dark Matter)
• Complete Set of Dimension-9 Operators in the Standard Model Effective Field Theory
• An explicit construction of the dimension-9 operator basis in the standard model effective field theory
• Neutrinoless Quadruple Beta Decay
• Proton decay into charged leptons
• Baryon-number violation by two units and the deuteron lifetime
• Characters and Group Invariant Polynomials of (Super)fields: Road to "Lagrangian"
• Low-Energy Effective Field Theory below the Electroweak Scale: Dimension-8 Operators
• Baryon Number, Lepton Number, and Operator Dimension in the SMEFT with Flavor Symmetries
• Effective Operator Bases for Beyond Standard Model Scenarios: An EFT compendium for discoveries
• $\Delta L\ge 4$ processes
• Baryon and Lepton Number Violation with Scalar Bilinears

Cited by in corpus (1)

• Two-loop dimension Six Effective Action: Integrating Out Heavy Scalar