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arXiv 1106.5220hep-phhep-exnucl-th
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通过希格斯玻色子交换束缚的两个重费米子

Two heavy fermions bound via Higgs boson exchange

Victor Flambaum, Michael Kuchiev

摘要:

研究了两个重费米子、轻子或第四代夸克通过希格斯玻色子交换作用结合在一起的系统。这种交换产生的传统汤川型相互作用伴随着几个重要的修正。我们推导出了哈密顿量,它描述了由延迟引起的修正(比较QED中的Breit修正);我们还计算了相对论和辐射修正。当费米子质量m> m_{cr} \approx 500 GeV时,Higgs诱导的束缚态出现。当考虑长程库仑相互作用或胶子交换时,任何质量的束缚态都存在,但当m接近m_{cr}时,Higgs交换使这些态的束缚能急剧增加。在m> m_{cr}的区域,胶子交换对希格斯粒子诱导的结合能给出了相当大的修正。这种修正大大超过了仅通过胶子交换产生的状态中的典型结合能。讨论了在LHC上探测到所考虑的束缚态的可能性。

英文摘要:

A system of two heavy fermions, leptons or quarks of the fourth generation, which are bound together via the Higgs boson exchange is studied. The conventional Yukawa-type interaction produced by this exchange is accompanied by several important corrections. We derived the Hamiltonian, which describes the correction arising from the retardation (compare the Breit correction in QED); we also calculated the relativistic and radiative corrections. The Higgs-induced bound state appears for the fermion mass m>m_{cr} \approx 500 GeV. When the long-range Coulomb interaction or the gluon exchange are included, the bound states exist for any mass, but the Higgs exchange drastically increases the binding energy of these states when m is approaching m_{cr}. In the region m>m_{cr} the gluon exchange gives a sizable correction to the Higgs induced binding energy. This correction greatly exceeds typical binding energies in the states produced via the gluon exchange only. The possibility of detection of the considered bound states at LHC is discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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