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The geometric νSMEFT: operators and connections

Published version
Peer-reviewed

Repository DOI


Change log

Authors

Talbert, Jim 

Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pWe write down a geometric realization of the Standard Model Effective Field Theory (SMEFT) extended by jats:italicn</jats:italic>jats:subjats:italicf</jats:italic></jats:sub> flavours of light sterile neutrinos, a so-called geojats:italicν</jats:italic>SMEFT. As with the geoSMEFT introduced by Helset, Martin and Trott, we show that a refactorization of the jats:italicν</jats:italic>SMEFT’s operator product expansion is possible, such that two- and three-point composite operator forms are dressed with field-space connections composed of towers of Higgs dressings and symmetry generators, valid at jats:italicall-orders</jats:italic> in the jats:inline-formulajats:alternativesjats:tex-math$$ {\overline{v}}_T/\Lambda $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miv</mml:mi> mml:mo¯</mml:mo> </mml:mover> mml:miT</mml:mi> </mml:msub> mml:mo/</mml:mo> mml:miΛ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> expansion parameter of the EFT jats:inline-formulajats:alternativesjats:tex-math$$ \left({\overline{v}}_T\equiv \sqrt{2\left\langle {H}^{\dagger }H\right\rangle}\right) $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:mfenced mml:mrow mml:msub mml:mover mml:miv</mml:mi> mml:mo¯</mml:mo> </mml:mover> mml:miT</mml:mi> </mml:msub> mml:mo≡</mml:mo> mml:msqrt mml:mrow mml:mn2</mml:mn> mml:mfenced mml:mrow mml:msup mml:miH</mml:mi> mml:mo†</mml:mo> </mml:msup> mml:miH</mml:mi> </mml:mrow> </mml:mfenced> </mml:mrow> </mml:msqrt> </mml:mrow> </mml:mfenced> </mml:math></jats:alternatives></jats:inline-formula>. These connections are parameterized by real Higgs coordinates and contribute to the field-space geometry of the (jats:italicν</jats:italic>)SMEFT, with structure linked to the strength of Beyond-the-(jats:italicν</jats:italic>)Standard Model physics encoded in jats:inline-formulajats:alternativesjats:tex-math$$ {\overline{v}}_T/\Lambda $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miv</mml:mi> mml:mo¯</mml:mo> </mml:mover> mml:miT</mml:mi> </mml:msub> mml:mo/</mml:mo> mml:miΛ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>. In addition to enumerating the relevant composite operators and associated connections, we briefly outline the route to calculating all-jats:inline-formulajats:alternativesjats:tex-math$$ {\overline{v}}_T/\Lambda $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:msub mml:mover mml:miv</mml:mi> mml:mo¯</mml:mo> </mml:mover> mml:miT</mml:mi> </mml:msub> mml:mo/</mml:mo> mml:miΛ</mml:mi> </mml:math></jats:alternatives></jats:inline-formula>-orders amplitudes, including the flavor-invariant theory required to understand the neutrino mass-eigenstate basis geometrically.</jats:p>

Description

Keywords

5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1126-6708
1029-8479

Volume Title

Publisher

Springer Science and Business Media LLC