Low-energy effective field theory below the electroweak scale: one-loop renormalization in the ’t Hooft-Veltman scheme
Low-energy effective field theory below the electroweak scale: one-loop renormalization in the ’t Hooft-Veltman scheme
复制标题
电弱尺度以下的低能有效场论：t Hooft-Veltman 格式中的单环重整化
DOI：
10.1007/jhep02(2024)068
复制
发表时间：
2023
影响因子：
5.4
通讯作者：
P. Stoffer
中科院分区：
文献类型：
--
作者：
Luca Naterop;P. Stoffer
摘要
电弱尺度下的低能有效场论（LEFT）描述了弱相互作用和标准模型之外的物理在低能下的影响。我们研究了't Hooft-Veltman格式中LEFT的单圈重整化，它给出了维正则化中Levi-Civita符号和γ5的代数一致的定义.然而，与最小减法，该计划导致一个虚假的破坏手征对称性的中间步骤的计算。基于't Hooft-Veltman处方，我们定义了一个重整化方案，通过包括适当的有限反项来恢复手征对称性。为此，我们扩展了物理左运营商的基础上，由一套完整的离壳和一个循环的倏逝运营商，我们在一个循环进行重整化。我们确定有限的计数器的物理参数，补偿两个插入的倏逝算子，以及手征对称性破缺项的可重正化部分的拉格朗日在D维。我们的结果可以应用在下一个领先的日志计算中的't Hooft-Veltman计划：使用我们的重整化方案，而不是纯粹的最小减法分离的物理部门从非物理的倏逝扇区，并导致结果，显然是免费的虚假手征对称性破缺条款。
Abstract
The low-energy effective field theory below the electroweak scale (LEFT) describes the effects at low energies of both the weak interaction and physics beyond the Standard Model. We study the one-loop renormalization of the LEFT in the ’t Hooft-Veltman scheme, which offers an algebraically consistent definition of the Levi-Civita symbol and γ5 in dimensional regularization. However, in connection with minimal subtraction this scheme leads to a spurious breaking of chiral symmetry in intermediate steps of the calculation. Based on the ’t Hooft-Veltman prescription, we define a renormalization scheme that restores chiral symmetry by including appropriate finite counterterms. To this end, we extend the physical LEFT operator basis by a complete set of off-shell and one-loop-evanescent operators and we perform the renormalization at one loop. We determine the finite counterterms to the physical parameters that compensate both the insertions of evanescent operators, as well as the chiral-symmetry-breaking terms from the renormalizable part of the Lagrangian in D dimensions. Our results can be applied in next-to-leading-log calculations in the ’t Hooft-Veltman scheme: using our renormalization scheme instead of pure minimal subtraction separates the physical sector from the unphysical evanescent sector and leads to results that are manifestly free of spurious chiral-symmetry-breaking terms.
影响因子：
4.4
作者：
Crosas, Òscar L.;Monahan, Christopher J.;Rizik, Matthew D.;Shindler, Andrea;Stoffer, Peter
通讯作者：
Stoffer, Peter