A bstract We calculate pp → ℓ + ν, ℓ − $$ \overline{\nu} $$ ν ¯ to $$ \mathcal{O} $$ O (1 / Λ 4 ) within the Standard Model Effective Field Theory (SMEFT) framework. In particular, we calculate the four-fermion contribution from dimension six and eight operators, which dominates at large center of mass energy. We explore the relative size of the $$ \mathcal{O} $$ O (1 / Λ 4 ) and $$ \mathcal{O} $$ O (1 / Λ 2 ) results for various kinematic regimes and assumptions about the Wilson coefficients. Results for Drell-Yan production pp → ℓ + ℓ − at $$ \mathcal{O} $$ O (1 / Λ 4 ) are also provided. Additionally, we develop the form for four fermion contact term contributions to pp → ℓ + ν, ℓ − $$ \overline{\nu} $$ ν ¯ , pp → ℓ + ℓ − of arbitrary mass dimension. This allows us to estimate the effects from even higher dimensional (dimension > 8) terms in the SMEFT framework.
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Exact SMEFT formulation and expansion to $$ \mathcal{O} $$(v4/Λ4)
A bstract The Standard Model Effective Field Theory (SMEFT) theoretical framework is increasingly used to interpret particle physics measurements and constrain physics beyond the Standard Model. We investigate the truncation of the effective-operator expansion using the geometric formulation of the SMEFT, which allows exact solutions, up to mass-dimension eight. Using this construction, we compare the exact solution to the expansion at $$ \mathcal{O} $$ O ( v 2 / Λ 2 ), partial $$ \mathcal{O} $$ O ( v 4 / Λ 4 ) using a subset of terms with dimension-6 operators, and full $$ \mathcal{O} $$ O ( v 4 / Λ 4 ), where v is the vacuum expectation value and Λ is the scale of new physics. This comparison is performed for general values of the coefficients, and for the specific model of a heavy U(1) gauge field kinetically mixed with the Standard Model. We additionally determine the input-parameter scheme dependence at all orders in v/ Λ, and show that this dependence increases at higher orders in v/ Λ.
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- Award ID(s):
- 1820860
- NSF-PAR ID:
- 10297322
- Date Published:
- Journal Name:
- Journal of High Energy Physics
- Volume:
- 2020
- Issue:
- 11
- ISSN:
- 1029-8479
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
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Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1007/JHEP11(2020)087
