标题： 重新审视GRB 221009A引起的洛伦兹不变性破坏 显示英文标题

标题： Revisiting Lorentz invariance violation from GRB 221009A

摘要： 由于洛伦兹不变性破坏~(LIV)的潜在后果，阈值异常为研究LIV提供了窗口。最近，大型高海拔空气簇射观测站~(LHAASO)报告称，已观测到超过5000个来自伽马射线暴221009A的光子，其能量高于500~GeV，最高达到$18~\text{TeV}$。在文献中，有建议认为这一观测可能与标准模型结果存在矛盾，因为星系际背景光~(EBL)可以阻止约18~TeV的光子到达地球，而LIV引起的阈值异常可能能够解释这一观测。在这项工作中，我们通过更详细的数值计算，对不同LIV尺度和源的红移进行了进一步研究。我们发现，伽马射线暴221009A是一个非常独特的搜索LIV的机会，并且LIV尺度$E_\text{LIV} \lesssim E_\text{Planck}\approx 1.22\times 10^{19}~\text{GeV}$对于2022年10月9日的伽马射线暴221009A的观测是可行的。 显示英文摘要

摘要： As a potential consequence of Lorentz invariance violation~(LIV), threshold anomalies open a window to study LIV. Recently the Large High Altitude Air Shower Observatory~(LHAASO) reported that more than 5000 photons from GRB 221009A have been observed with energies above 500~GeV and up to $18~\text{TeV}$. In the literature, it is suggested that this observation may have tension with the standard model result because extragalactic background light~(EBL) can prevent photons around 18~TeV from reaching the earth and that LIV induced threshold anomalies might be able to explain the observation. In this work we further study this proposal with more detailed numerical calculation for different LIV scales and redshifts of the sources. We find that GRB 221009A is a rather unique opportunity to search LIV, and a LIV scale $E_\text{LIV} \lesssim E_\text{Planck}\approx 1.22\times 10^{19}~\text{GeV}$ is feasible to the observation of GRB 221009A on 9 October, 2022.