利用过冷相变产生的引力波重建模型参数中的理论不确定性
Theoretical uncertainties in reconstructing model parameters with gravitational waves from supercooled phase transitions
AI总结：
研究利用引力波重建粒子物理模型参数的理论不确定性，以经典共形${\rm U}(1)_X$模型为代表，扫描参数空间比较两种重整化方案，通过费舍尔矩阵分析发现常用的雏菊重整化方案理论误差主导，不被看好。
AI中文摘要：
未来的干涉仪可能探测到来自宇宙学一阶相变的引力波（GW）信号。从这样的信号重建潜在的粒子物理模型需要对从微观物理到频谱的映射进行理论控制。对于标准模型的经典尺度不变扩展，其通常预测强烈过冷转变和强GW信号，此映射敏感地依赖于对成核速率的量子和热修正的处理。以经典共形${\rm U}(1)_X$模型为这类的代表，我们扫描其参数空间并比较两种重整化方案。第一种是高温有效场论，在两圈水平匹配并包括对反弹作用的次领头阶修正，成核速率前置因子由完整的一圈泛函行列式给出。第二种是常用的雏菊重整化有效势，前置因子基于量纲分析估计。通过对LISA注入的GW信号进行费舍尔矩阵分析来重建基本模型参数，我们发现雏菊重整化方案极不被看好，因为其理论误差在重建不确定性中占主导。
英文摘要：
Future interferometers may detect a gravitational-wave (GW) signal from a cosmological first-order phase transition. Reconstructing the underlying particle-physics model from such a signal requires theoretical control over the map from microphysics to the spectrum. For classically scale-invariant extensions of the Standard Model, which generically predict strongly supercooled transitions and strong GW signals, this map depends sensitively on the treatment of quantum and thermal corrections to the nucleation rate. Taking the classically conformal ${\rm U}(1)_X$ model as representative of this class, we scan its parameter space and compare two resummation schemes. The first is a high-temperature effective field theory, matched at two-loop level and including next-to-leading-order corrections to the bounce action, with the nucleation-rate prefactor given by the full one-loop functional determinants. The second is a commonly employed daisy-resummed effective potential, with the prefactor estimated on dimensional grounds. Reconstructing the fundamental model parameters through a Fisher-matrix analysis of injected GW signals at LISA, we find that the daisy-resummation scheme is strongly disfavored, as its theoretical error dominates over the reconstruction uncertainty.
