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Equation 2 · Part 15 · From Origins to Frontier: A History of Particle Physics Beyond the Standard Model

Numerator: 1

LSMEFT=LSM+∑iciΛ2Oi(6)+O ⁣(1Λ4)\mathcal{L}_{\text{SMEFT}} = \mathcal{L}_{\text{SM}} + \sum_i \frac{c_i}{\Lambda^{2}} \mathcal{O}_i^{(6)} + \mathcal{O}\!\left(\frac{1}{\Lambda^{4}}\right)
11

What this part means

The complete quantity above the fraction bar.

Its job in the formula

1 occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

The extended silence from direct searches for new particles pushed much of the theoretical community toward a different strategy: rather than assuming a specific new particle and calculating its signature, treat any new physics as too heavy to produce directly, and parametrize its indirect effects on Standard Model processes using an effective field theory (EFT). The Standard Model Effective Field Theory (SMEFT) adds higher-dimension operators, suppressed by inverse powers of some new physics scale Λ\Lambda , to the ordinary Standard Model Lagrangian: LSMEFT=LSM+∑iciΛ2Oi(6)+O ⁣(1Λ4)\mathcal{L}_{\text{SMEFT}} = \mathcal{L}_{\text{SM}} + \sum_i \frac{c_i}{\Lambda^{2}} \mathcal{O}_i^{(6)} + \mathcal{O}\!\left(\frac{1}{\Lambda^{4}}\right). Here each Oi(6)\mathcal{O}_i^{(6)} is a dimension-six operator built from Standard Model fields respecting its gauge…

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