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Extremal Higgs couplings

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arxiv 2311.09283 v1 pith:EM7NMEGW submitted 2023-11-15 hep-ph hep-th

Joan Elias Miro , Andrea Guerrieri , Mehmet Asim Gumus This is my paper · ORCID
classification hep-phhep-th
keywords boundamplitudecouplingsdimension-sixhiggsobservablepartialtext
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We critically assess to what extent it makes sense to bound the Wilson coefficients of dimension-six operators. In the context of Higgs physics, we establish that a closely related observable, $c_H$, is well-defined and satisfies a two-sided bound. $c_H$ is derived from the low momentum expansion of the scattering amplitude, or the derivative of the amplitude at the origin with respect to the Mandelstam variable $s$, expressed as $M(H_iH_i\rightarrow H_jH_j)=c_H s +O(g_\text{SM}, s^{-2})$ where $g_\text{SM}$ represents all Standard Model couplings. This observable is non-dispersive and, as a result, not sign-definite. We also determine the conditions under which the bound on $c_H$ is equivalent to a bound on the dimension-six operator $O_H=\partial| H|^2 \partial |H|^2$.

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