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In this talk, a Green's basis and a new physical basis for dimension-seven (dim-7) operators in the Standard Model effective field theory (SMEFT) are proposed. The reduction relations between those two bases are also presented, where some…

High Energy Physics - Phenomenology · Physics 2024-09-05 Di Zhang

We present the second part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): the baryon-number-violating sector at dimension six in the power…

High Energy Physics - Phenomenology · Physics 2025-07-28 Luca Naterop , Peter Stoffer

Observation of lepton number violation would represent a groundbreaking discovery with profound consequences for fundamental physics and as such, it has motivated an extensive experimental program searching for neutrinoless double beta…

High Energy Physics - Phenomenology · Physics 2024-05-02 Kåre Fridell , Lukáš Gráf , Julia Harz , Chandan Hati

The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and…

High Energy Physics - Phenomenology · Physics 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

We compute the leading-logarithmic correction to the neutrino mass matrix in the Standard Model effective field theory (SMEFT) to dimension seven. In the limit of negligible lepton and down-type quark Yukawa couplings, it receives…

High Energy Physics - Phenomenology · Physics 2021-08-06 Mikael Chala , Arsenii Titov

We calculate the gauge terms of the one-loop anomalous dimension matrix for the dimension-six operators of the Standard Model effective field theory (SM EFT). Combining these results with our previous results for the $\lambda$ and Yukawa…

High Energy Physics - Phenomenology · Physics 2024-06-14 Rodrigo Alonso , Elizabeth E. Jenkins , Aneesh V. Manohar , Michael Trott

We discuss lepton number violation in three units. From an effective field theory point of view, $\Delta L=3$ processes can only arise from dimension 9 or higher operators. These operators also violate baryon number, hence many of them will…

High Energy Physics - Phenomenology · Physics 2018-04-25 Renato M. Fonseca , Martin Hirsch , Rahul Srivastava

We survey 129 lepton number violating effective operators, consistent with the minimal Standard Model gauge group and particle content, of mass dimension up to and including eleven. Upon requiring that each one radiatively generates the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Andre de Gouvea , James Jenkins

Integrating out a heavy field gives rise to effective Lagrangian containing higher dimensional operators. In the context of Type-I seesaw mechanism, integrating out the heavy right handed neutrino field leads to unique dimension five…

High Energy Physics - Phenomenology · Physics 2015-06-04 Subrata Khan

We obtain constraints on four-lepton interactions in the effective field theory with dimension-6 operators. To this end, we combine the experimental input from Z boson measurements in LEP-1, W boson mass and decays, muon and tau decays,…

High Energy Physics - Phenomenology · Physics 2016-03-23 Adam Falkowski , Kin Mimouni

We construct simple renormalizable extensions of the standard model where the leading baryon number violating processes have $\Delta B = \pm \Delta L = -2$. These models contain additional scalars. The simplest models contain a color…

High Energy Physics - Phenomenology · Physics 2021-08-04 Andreas Helset , Clara Murgui , Mark B. Wise

Charged lepton flavor violation arises in the Standard Model Effective Field Theory at mass dimension six. The operators that induce neutrinoless muon and tauon decays are among the best constrained and are sensitive to new-physics scales…

High Energy Physics - Phenomenology · Physics 2024-04-15 Julian Heeck , Mikheil Sokhashvili

We perform a systematic study of flavor-diagonal parity- and time-reversal-violating operators of dimension six which could arise from physics beyond the SM. We begin at the unknown high-energy scale where these operators originate. At this…

High Energy Physics - Phenomenology · Physics 2013-06-04 W. Dekens , J. de Vries

The renormalization of the most general dimension-six four-fermion operators without power subtractions is studied at one loop in lattice perturbation theory using overlap fermions. As expected, operators with different chirality do not mix…

High Energy Physics - Lattice · Physics 2009-10-31 S. Capitani , L. Giusti

Baryon number violation is our most sensitive probe of physics beyond the Standard Model. Its realization through heavy new particles can be conveniently encoded in higher-dimensional operators that allow for model-agnostic analyses. The…

High Energy Physics - Phenomenology · Physics 2026-03-19 Julian Heeck , Diana Sokhashvili , Anil Thapa

When the Standard Model is considered as an effective low-energy theory, higher dimensional interaction terms appear in the Lagrangian. Dimension-six terms have been enumerated in the classical article by Buchmueller and Wyler [3]. Although…

High Energy Physics - Phenomenology · Physics 2017-01-17 B. Grzadkowski , M. Iskrzynski , M. Misiak , J. Rosiek

For a large set of flavor symmetries, the lowest-dimensional baryon- or lepton-number violating operators in the Standard Model effective field theory (SMEFT) with flavor symmetry are of mass dimension 9. As a consequence, baryon- and…

High Energy Physics - Phenomenology · Physics 2019-12-04 Andreas Helset , Andrew Kobach

Within the standard model, non-renormalizable operators at dimension six ($d=6$) violate baryon and lepton number by one unit and thus lead to proton decay. Here, we point out that the proton decay mode with a charged pion and missing…

High Energy Physics - Phenomenology · Physics 2018-07-13 Juan C. Helo , Martin Hirsch , Toshihiko Ota

The effects of heavy new particles beyond the Standard Model can be conveniently captured through higher-dimensional effective operators. As noted long ago by Weinberg, the amount of baryon and lepton number an operator can carry is…

High Energy Physics - Phenomenology · Physics 2025-08-08 Julian Heeck , Diana Sokhashvili

We implement a systematic effective field theory approach to the benchmark process $\mu\to e \gamma$, performing automated one-loop computations including dimension 6 operators and studying their anomalous dimensions. We obtain limits on…

High Energy Physics - Phenomenology · Physics 2014-10-09 Giovanni Marco Pruna , Adrian Signer