四味（3+1）惰性中微子框架下长基线中微子实验中的地球密度效应

中文摘要 AI 辅助

地球物质效应是长基线（LBL）实验中确定CP破坏相δ13的主要系统误差来源，而电子伏特量级的惰性中微子仍是三味范式之外的现象学开放扩展，其动机来自短基线异常。我们将参考文献1中恒定密度与真实地球剖面分析扩展到四味（3+1）框架，其中第四种主要为惰性的质量本征态，具有δm²₄₁ = 0.30 eV²，活性-惰性混合角θ₁₄ = 8.13°、θ₂₄ = 5.40°，通过其混合以及一个额外的中性流（NC）物质势与活性扇区耦合，该物质势作用于活性味但不作用于惰性态。我们推导了NC势A_NC如何通过绝热积分掉快速振荡的δm²₄₁振荡所产生的一个有效非标准相互作用类项，从而以解析的首阶方式进入重建的δ13偏差；将四壳层地球密度模型替换为Dziewonski & Anderson（1981）的连续多项式PREM剖面以描述分层的真实轨迹；并将基线扫描扩展到惰性CP相δ14的四个代表性值：0、π/2、π、3π/2，以及非零混合角θ₃₄ = 5°。在此基准内，对于L ≤ 5000 km，偏差仍低于我们的扫描分辨率。一旦轨迹采样下地幔和地核，偏差增大，惰性扇区在基线上重新分配而非均匀放大或抑制偏差，这与我们最初的发现一致，并且现在可追溯到下文解析识别的特定干涉机制。

英文摘要

Earth matter effects are a leading systematic in long-baseline (LBL) determinations of the CP-violating phase delta13, and eV scale sterile neutrinos remain a phenomenologically open extension of the three-flavor paradigm motivated by short-baseline anomalies. We extend the constant density versus realistic Earth profile analysis of Ref. 1 to a four-flavor (3+1) framework, in which a fourth, mostly sterile mass eigenstate with deltam2 41 = 0.30 eV2 and active-sterile mixing angles theta14 = 8.13degree, theta24 = 5.40degree couples to the active sector both through its mixing and through an additional neutral current (NC) matter potential that acts on the active flavors but not on the sterile state. We derive an analytical, leading-order account of how the NC potential ANC enters the reconstructed delta13 bias through an effective non standard interaction like term generated by adiabatically integrating out the fast deltam241 oscillation; replace the four-shell Earth density model with the continuous, polynomial PREM profile of Dziewonski & Anderson (1981) for the layered true trajectory; and extend the baseline scan to four representative values of the sterile CP phase delta14 is 0, pi/2, pi, 3pi/2 and to a non-zero mixing angle theta34 = 5degree. Within this benchmark, the bias remains below our scan resolution for L <= 5000 km. It grows once the trajectory samples the lower mantle and core, with the sterile sector redistributing rather than uniformly amplifying or suppressing the bias across baseline, in agreement with our original finding and now traced to a specific interference mechanism identified analytically below.

发表机构

• University of Delhi（德里大学）
• Chaudhary Charan Singh University（乔达利·查兰·辛格大学）

机构由 AI 辅助整理，请以论文原文为准。