Abstract
We propose a novel approach of probing grand unification through precise measurements on the Higgs Yukawa couplings at the LHC. This idea is well motivated by the appearance of effective operators not suppressed by the mass scale of unification ${M}_{\mathrm{U}}$ in realistic models of unification with the minimal structure of Yukawa sector. Such operators modify the Higgs Yukawa couplings in correlated patterns at scale ${M}_{\mathrm{U}}$ that hold up to higher-order corrections. The coherences reveal a feature that, the deviation of tau Yukawa coupling relative to its standard model value at the weak scale is the largest one among the third-generation Yukawa couplings. This feature, if verified by the future LHC, can serve as a hint of unification.
Highlights
The Higgs Yukawa couplings to the standard model (SM) fermions such as top [1], bottom [2], and tau [3] have been verified at the LHC
With hφi ∼ MU referring to the vacuum expectation value of SM singlet responsible for breaking the grand unification theory (GUT) gauge group. (b) All of εi terms are always correlated in specific patterns rather than independent parameters. (c) The coherences lead to specific patterns of derivations in the Higgs Yukawa couplings from their SM reference values, which may be verified by the future LHC in certain parameter ranges
We have proposed a novel approach of probing unification through precision measurements on the Higgs Yukawa couplings especially of the third generation
Summary
The Higgs Yukawa couplings to the standard model (SM) fermions such as top [1], bottom [2], and tau [3] have been verified at the LHC. Supersymmetry is advocated to solve the hierarchy problem, there are limited tools to probe the underlying grand unification theory (GUT) behind supersymmetry, as the unification scale MU is far larger than the weak scale. A large amount of models evade the SuperKamiokande limits [8,9] on the proton decay by adjusting the value of MU in the mass range 1015–17 GeV according to the dependence of proton decay lifetime on MU, i.e., τp ∼ 1=M4U. (c) The coherences lead to specific patterns of derivations in the Higgs Yukawa couplings from their SM reference values, which may be verified by the future LHC in certain parameter ranges MU with hφi ∼ MU referring to the vacuum expectation value (vev) of SM singlet responsible for breaking the GUT gauge group. (b) All of εi terms are always correlated in specific patterns rather than independent parameters. (c) The coherences lead to specific patterns of derivations in the Higgs Yukawa couplings from their SM reference values, which may be verified by the future LHC in certain parameter ranges
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