Probing The Charm-Higgs Yukawa Coupling Via Higgs Boson Decay To H_c Plus A Photon

Quantum chromodynamics is the basic theory describing the strong interaction,and its research is one important task of particles physics.Heavy quarkonium physics provides a rich and ideal platform to deepen our deep understanding of perturbative and non-perturbative QCD.Today,NRQCD is considered to be one of the most promising theory for describing the physics of heavy quarkonium.In the NRQCD,the idea of perturbative factorization is applied,the process of production and decay of heavy quarkonium is separated into two parts:short distance part,which allows the intermediate pair with quantum numbers different from those of the physical quarkonium state,and the long distance matrix elements?LDMEs?,which can be extracted from experiments.NRQCD is an effective factorization method and has became the standard tool for theoretical calculations for heavy quarkonium.It is the main content of the article that:1.Introduce the development of quantum chromodynamics and heavy quarkonium,and have an in-depth understanding of its history.2.Briefly explain the Spontaneous symmetry breaking,Higgs mechanism and Yukawa coupling in the standard model.3.The description of heavy quarkonium under NRQCD and the NRQCD factorization method are briefly introduced.At the same time,the annihilation and high-energy production of heavy quarkonium are introduced.4.The decay of Higgs boson to h_c in non-relativistic quantum chromodynamics?NRQCD?theoretical framework is studied,and the leading and secondary leading orders of this process are calculated,we got the decay width and decay branch ratio.At the same time,we also calculated the decay width of the process under different renormalization energies.In this paper,we investigate the decay of the Higgs boson to h_c plus a photon in the non-relativistic quantum chromodynamics?QCD?theoretical framework.Compared with the Higgs decay to J/?plus a photon channel,this process makes a indirect contribution,and can be used to detect the Yukawa coupling of Higgs and charm quarks.The results show that the decay branch ratio of this process is about 10^-8.If we take into account the 10^-3 efficiency in the h_c detection,no events will be available even in the case of 30 ab^-1 luminosity at FCC-pp with a 100 TeV center of mass energy.However,if the detection efficiency of h_c is greatly improved in the future,this process will play an important role in linear e⁺e^-future colliders and at LHCb.Moreover,this process should also play an important role when the anomalous charm–Yukawa couplings are larger and direct sensitivity.