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Transformation of scalar couplings between Coleman-Weinberg and MS schemes

机译：Coleman-Weinberg与MS方案的标量耦合的转换

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The Coleman-Weinberg (CW) renormalization scheme for renormalization-group improvement of the effective potential is particularly valuable for CW symmetry-breaking mechanisms (including the challenging case of models with multiple scalar fields). CW mechanism is typically studied using models with classical scale invariance which not only provide a possibility for an alternative symmetry breaking mechanism but also partially address the gauge hierarchies through dimensional transmutation. As outlined in our discussion section, when the couplings are not large, models with CW symmetry-breaking mechanisms have also been shown to naturally provide the strong first-order phase transition necessary for stochastic gravitational wave signals. A full understanding of the CW-MS scheme transformation of couplings thus becomes important in the era of gravitational wave detection and precision coupling measurements. A generalized Coleman-Weinberg (GCW) renormalization scheme is formulated and methods for transforming scalar self-couplings between the GCW and MS (minimal-subtraction) renormalization schemes are developed. Scalar λ Φ 4 theory with global O ( 4 ) symmetry is explicitly studied up to six-loop order to explore the magnitude of this scheme transformation effect on the couplings. The dynamical rescaling of renormalization scales between the GCW and MS schemes can lead to significant (order of 10%) differences in the coupling at any order, and consequently GCW-MS scheme transformation effects must be considered within precision determinations of scalar couplings in extensions of the Standard Model.
机译：对COLEMAM-WEINBERG（CW）重整化的重新定位方案 - 基团的有效潜力的改进对于CW对称性机制特别有价值（包括具有多个标标场的模型的具有挑战性的情况）。通常使用具有经典规模不变性的模型研究CW机制，这不仅提供了替代对称性破坏机构的可能性，而且还通过尺寸嬗变部分地解决了规格层次结构。如我们讨论部分所述，当耦合不大时，还显示了具有CW对称机构的模型，以自然地提供随机重力波信号所需的强大一阶相转变。因此，对CW-MS方案的耦合变换的完全理解在重力波检测和精密耦合测量的时代变得重要。制定了广义的Coleman-Weinberg（GCW）重整化方案，并开发了用于在GCW和MS（最小减法）重型化方案之间转换标量的自耦合的方法。标量λφ4理论与全局O（4）对称性明确地研究了六环，以探讨该方案变换效果对联轴器的幅度。 GCW和MS方案之间的重整化尺度的动态重构可以在任何顺序中导致耦合耦合的显着（10％）差异，因此必须考虑GCW-MS方案转换效果在延伸的延伸中的标量耦合的精度确定范围内标准模型。

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