标题： $Z^\prime$引发的正向主导过程在$μ$TRISTAN 实验中 显示英文标题

标题： $Z^\prime$ induced forward dominant processes in $μ$TRISTAN experiment

摘要： 标准模型（SM）的通用$U(1)$扩展是一种具有说服力的超出标准模型（BSM）的场景，在该场景中引入了三代右手中微子（RHNs）以消除规范和规范-引力混合异常。 在$U(1)_X$破坏之后，RHNs 参与跷跷板机制，生成满足中微子振荡数据的轻中微子质量。 除此之外，还演化出一个中性规范玻色子$Z^\prime$，它与左右手费米子的相互作用不同，体现了该模型的手征性质，这可能在未来对撞机实验中被探测到。 因此，如果我们考虑$\mu^+ e^-$和$\mu^+ \mu^+$在$\mu$TRISTAN 实验中$Z^\prime$的碰撞，由$2\to2$介导的散射将在$t-$和$u-$通道中出现，这取决于初始态和末态是否伴随着光子和$Z$介导的相互作用。 这将导致动机充分的前进主导情景，从而产生显著的左右不对称性。 从LEP-II和LHC对不同$U(1)_X$电荷的普遍$U(1)$耦合进行估计，我们计算了$\mu^+ e^- \to \mu^+ e^-$和$\mu^+ \mu^+ \to \mu^+ \mu^+$过程的微分和积分散射截面以及左右不对称性，这些过程可以在$\mu$TRISTAN实验中进一步探测，从而更深入地了解$Z^\prime$与带电轻子之间的相互作用以及$U(1)_X$破缺尺度。 显示英文摘要

摘要： General $U(1)$ extension of the Standard Model (SM) is a well motivated beyond the Standard Model(BSM) scenario where three generations of right handed neutrinos (RHNs) are introduced to cancel gauge and mixed gauge-gravity anomalies. After the $U(1)_X$ is broken, RHNs participate in the seesaw mechanism to generate light neutrino masses satisfying neutrino oscillation data. In addition to that, a neutral gauge boson $Z^\prime$ is evolved which interacts with the left and right handed fermions differently manifesting chiral nature of the model which could be probed in future collider experiments. As a result, if we consider $\mu^+ e^-$ and $\mu^+ \mu^+$ collisions in $\mu$TRISTAN experiment $Z^\prime$ mediated $2\to2$ scattering will appear in $t-$ and $u-$channels depending on the initial and final states being accompanied by the photon and $Z$ mediated interactions. This will result well motivated resulting forward dominant scenarios giving rise to sizable left-right asymmetry. Estimating constrains on general $U(1)$ coupling from LEP-II and LHC for different $U(1)_X$ charges, we calculate differential and integrated scattering cross section and left-right asymmetry for $\mu^+ e^- \to \mu^+ e^-$ and $\mu^+ \mu^+ \to \mu^+ \mu^+$ processes which could be probed at $\mu$TRISTAN experiment further enlightening the interaction between $Z^\prime$ and charged leptons and the $U(1)_X$ breaking scale.