构造大量壳上接触项
Constructing massive on-shell contact terms
摘要:
有效场论的纯壳层方法要求构造独立的接触项。采用小群协变的旋量-旋量形式主义,我们提出了第一个系统的推导独立的四点接触条款,涉及大量的标量,自旋1/2费米子,和矢量。对于自旋为3的大质量粒子,也列出了独立的三点振幅。在这个形式中,我们广泛地利用了无质量振幅和有质量振幅之间的简单关系。我们的一般结果是专门的(破相)粒子含量的电弱部门的标准模型。全同粒子之间的(反)对称性,然后占。这项工作为在壳层上计算大质量四点振幅开辟了道路。
英文摘要:
The purely on-shell approach to effective field theories requires the construction of independent contact terms. Employing the little-group-covariant massive-spinor formalism, we present the first systematic derivation of independent four-point contact terms involving massive scalars, spin-1/2 fermions, and vectors. Independent three-point amplitudes are also listed for massive particles up to spin-3. We make extensive use of the simple relations between massless and massive amplitudes in this formalism. Our general results are specialized to the (broken-phase) particle content of the electroweak sector of the standard model. The (anti)symmetrization among identical particles is then accounted for. This work opens the way for the on-shell computation of massive four-point amplitudes.
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