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We present a complete list of the independent dimension-7 operators that are constructed using the Standard Model degrees of freedom and are invariant under the Standard Model gauge group. This list contains only 20 independent operators;…

高能物理 - 唯象学 · 物理学 2014-12-30 Landon Lehman

We enumerate the complete and independent sets of operators at the next-to-leading order (NLO) in the Higgs effective field theory (HEFT), based on the Young tensor technique on the Lorentz, gauge and flavor structures. The…

高能物理 - 唯象学 · 物理学 2023-05-24 Hao Sun , Ming-Lei Xiao , Jiang-Hao Yu

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…

高能物理 - 唯象学 · 物理学 2024-03-21 Elizabeth E. Jenkins , Aneesh V. Manohar , Peter Stoffer

We investigate systematically dimension-9 operators in the standard model effective field theory which contains only standard model fields and respects its gauge symmetry. With the help of the Hilbert series approach to classifying…

高能物理 - 唯象学 · 物理学 2020-11-30 Yi Liao , Xiao-Dong Ma

In this article we extend the effective field theory framework describing new physics effects to the case where the underlying low-energy theory is a Two-Higgs-Doublet model. We derive a complete set of independent operators up to dimension…

高能物理 - 唯象学 · 物理学 2020-03-31 Andreas Crivellin , Margherita Ghezzi , Massimiliano Procura

We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for the low energy effective field theory (LEFT), which parametrize various physics effects between the QCD scale and the electroweak scale. The independence of the…

高能物理 - 唯象学 · 物理学 2021-07-07 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

We revisit the effective field theory of the standard model that is extended with sterile neutrinos, $N$. We examine the basis of complete and independent effective operators involving $N$ up to mass dimension seven (dim-7). By employing…

高能物理 - 唯象学 · 物理学 2017-07-19 Yi Liao , Xiao-Dong Ma

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…

高能物理 - 唯象学 · 物理学 2017-01-17 B. Grzadkowski , M. Iskrzynski , M. Misiak , J. Rosiek

We present a complete and independent list of the dimension 9 operator basis in the Standard Model effective field theory by an automatic algorithm based on the amplitude-operator correspondence. A complete basis (y-basis) is first…

高能物理 - 唯象学 · 物理学 2021-07-28 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

Top interactions beyond the Standard Model can be conveniently described in the framework of gauge-invariant effective operators. We briefly review the general form of the fermion-fermion-gauge boson and fermion-fermion-Higgs interactions…

高能物理 - 唯象学 · 物理学 2011-04-22 J. A. Aguilar-Saavedra

We write down a minimal basis for dimension-six gauge-invariant four-fermion operators, with some operator replacements with respect to previous ones which make it simpler for calculations. Using this basis we classify all four-fermion…

高能物理 - 唯象学 · 物理学 2011-07-13 J. A. Aguilar-Saavedra

We present a complete and non-redundant basis of effective operators for the Standard Model Effective Field Theory up to mass dimension 12 with three generations of fermions. We also include operators coupling to gravity via the Weyl…

高能物理 - 唯象学 · 物理学 2023-09-29 R. V. Harlander , T. Kempkens , M. C. Schaaf

Probing the properties of the discovered Higgs boson may tell us whether or not it is the same particle as the one predicted by the Standard Model. To this aim we parametrize deviations of the Higgs couplings to matter from the Standard…

高能物理 - 唯象学 · 物理学 2016-02-22 Hermes Belusca-Maito

By analogy with pNRQCD, we construct Effective Field Theories suitable to describe the heavy-quark sector of baryons made of two and three heavy quarks. A long-standing discrepancy between the hyperfine splitting of doubly heavy baryons…

高能物理 - 唯象学 · 物理学 2009-11-11 Nora Brambilla , Thomas Roesch , Antonio Vairo

We obtain the complete and independent bases of effective operators at mass dimension 5, 6, 7, 8, 9 in both standard model effective field theory with light sterile right-handed neutrinos ($\nu$SMEFT) and low energy effective field theory…

高能物理 - 唯象学 · 物理学 2021-11-24 Hao-Lin Li , Zhe Ren , Ming-Lei Xiao , Jiang-Hao Yu , Yu-Hui Zheng

We use the equations of motion to simplify the general form of fermion-fermion-Higgs interactions generated by dimension-six gauge-invariant effective operators. After removing redundant operators it is found that the most general H f_i f_j…

高能物理 - 唯象学 · 物理学 2009-10-05 J. A. Aguilar-Saavedra

The effective field theory description for modifications of Standard Model-like Higgs boson interactions arising from tree-level mixing with heavy Higgs sector vacuum states without conserved quantum numbers is presented. An expansion in…

高能物理 - 唯象学 · 物理学 2015-12-02 Daniel Egana-Ugrinovic , Scott Thomas

For the first time, we list the complete and independent set of operators at the next-to-next-to-leading order (NNLO) in the Higgs effective field theory (HEFT), also named as the electroweak chiral Lagrangian with the light Higgs boson.…

高能物理 - 唯象学 · 物理学 2023-05-10 Hao Sun , Ming-Lei Xiao , Jiang-Hao Yu

We review the effective field theory approach to physics beyond the Standard Model using dimension-six operators. Topics include the choice of operator basis, electroweak boson pair production, precision electroweak physics (including…

高能物理 - 唯象学 · 物理学 2015-06-18 Scott Willenbrock , Cen Zhang

We present a minimal basis for non-derivative baryon-number-violating operators in the Standard Model Effective Field Theory up to mass dimension 11, as well as for the $(\Delta B,\Delta L) = (2,2)$ and $(2,-2)$ operators at dimension 12.…

高能物理 - 唯象学 · 物理学 2026-04-29 Julian Heeck , Brandon B. Le
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