Determining the space-time structure of bottom-quark couplings to
spin-zero particles
release_c3e3rsdh5nennp7sn2dodo2qma
by
Tathagata Ghosh, Rohini Godbole, Xerxes Tata
(2019)
Abstract
We present a general argument that highlights the difficulty of determining
the space-time structure of the renormalizable bottom quark Yukawa interactions
of the Standard Model Higgs boson, or for that matter of any hypothetical
spin-zero particle, at high energy colliders. The essence of the argument is
that, it is always possible, by chiral rotations, to transform between scalar
and pseudoscalar Yukawa interactions without affecting the interactions of
bottom quarks with SM gauge bosons. Since these rotations affect only the
b-quark mass terms in the Standard Model Lagrangian, any differences in
observables for scalar versus pseudoscalar couplings vanish when m_b
→ 0, and are strongly suppressed in high energy processes involving
the heavy spin-zero particle where the b-quarks are typically relativistic.
We show, however, that the energy dependence of, for instance, e^+e^-
→ bb̅ X (here X denotes the spin-zero particle) close to the
reaction threshold may serve to provide a distinction between the scalar versus
pseudoscalar coupling at electron-positron colliders that are being proposed,
provided that the Xbb̅ coupling is sizeable. We also note that while
various kinematic distributions for t t̅ h are indeed sensitive to the
space-time structure of the top Yukawa coupling, for a spin-0 particle X of
an arbitrary mass, the said sensitivity is lost if m_X >> m_t.
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