缺失两个粒子的运动学尖点I:鹿角衰变拓扑
Kinematic Cusps With Two Missing Particles I: Antler Decay Topology
摘要:
含有两个不可见粒子和两个可见粒子的末态系统的运动学可以产生尖峰结构。当系统具有固定不变的质量(例如来自窄共振粒子衰变或具有固定的碰撞c.m.)时,会发生这种情况。能量),并经历两个壳上中间粒子的衰变。着重于“鹿角衰变拓扑”,我们推导出一般的解析表达式不变的质量分布和运动学尖点的位置。尖锐的尖峰和端点位置可以帮助确定缺失颗粒和中间颗粒的质量。我们还考虑了横动量变量和角变量。在各种分布中,运动学尖点峰是存在和明显的。我们还研究了从现实的考虑,包括有限的衰减宽度,系统的纵向提升,和自旋相关的运动学尖点结构的影响。
英文摘要:
The kinematics of a final state system with two invisible particles and two visible particles can develop cusped peak structures. This happens when the system has a fixed invariant mass (such as from a narrow resonant particle decay or with a fixed collision c.m. energy) and undergoes decays of two on-shell intermediate particles. Focusing on the "antler decay topology", we derive general analytic expressions for the invariant mass distribution and the kinematic cusp position. The sharp cusp peaks and the endpoint positions can help to determine the masses of the missing particles and the intermediate particles. We also consider transverse momentum variables and angular variables. In various distributions the kinematic cusp peaks are present and pronounced. We also study the effects on such kinematic cusp structures from realistic considerations including finite decay widths, the longitudinal boost of the system, and spin correlations.
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