Master formula for one-loop renormalization of bosonic SMEFT operators

Buchalla, Gerhard; Celis, Alejandro; Krause, Claudius; Toelstede, Jan-Niklas

doi:10.48550/arxiv.1904.07840

Cited by 7 publications

(10 citation statements)

References 24 publications

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“…We can compare our results for the anomalous dimensions with those reported in the literature, mainly done using the Feynman diagrammatic approach (see for example [14][15][16]). For this purpose, we need to relate the dimension-6 operators of the SM EFT to our amplitudes.…”

Section: Comparison With the Literaturementioning

confidence: 85%

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Renormalization of Higher-Dimensional Operators from On-shell Amplitudes

Baratella¹,

Fernandez²,

Pomarol³

2020

Preprint

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On-shell amplitude methods allow to derive one-loop renormalization effects from just tree-level amplitudes, with no need of loop calculations. We derive a simple formula to obtain the anomalous dimensions of higher-dimensional operators from a product of tree-level amplitudes. We show how this works for dimension-6 operators of the Standard Model, providing explicit examples of the simplicity, elegance and efficiency of the method. Many anomalous dimensions can be calculated from the same Standard Model tree-level amplitude, displaying the attractive recycling aspect of the on-shell method. With this method, it is possible to relate anomalous dimensions that in the Feynman approach arise from very different diagrams, and obtain non-trivial checks of their relative coefficients. We compare our results to those in the literature, where ordinary methods have been applied.

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Section: Comparison With the Literaturementioning

confidence: 85%

“…(18) to Eq. (16). In general, however, this limit is not guaranteed to be continuous, as there can be extra terms in Eq.…”

Section: Anomalous Dimensions From On-shell Methodsmentioning

confidence: 99%

Renormalization of Higher-Dimensional Operators from On-shell Amplitudes

Baratella¹,

Fernandez²,

Pomarol³

2020

Preprint

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“…Appendix D: RGEs RG improvement is necessary to resum large log contributions at large field values. To compute the RGEs, we follow the steps discussed in [85], using the real representation of the SU (2)-doublets discussed in [86]. This approach utilizes the background-field method and super-heat-kernel expansion.…”

Section: )mentioning

confidence: 99%

A New Approach to Electroweak Symmetry Non-Restoration

Carena,

Krause,

Liu

et al. 2021

Preprint

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Electroweak symmetry non-restoration up to high temperatures well above the electroweak scale offers new alternatives for baryogenesis. We propose a new approach for electroweak symmetry non-restoration via an inert Higgs sector that couples to the Standard Model Higgs as well as an extended scalar singlet sector. We implement renormalization group improvements and thermal resummation, necessary to evaluate the effective potential spanning over a broad range of energy scales and temperatures. We present examples of benchmark scenarios that allow for electroweak symmetry non-restoration all the way up to hundreds of TeV temperatures, and also feature suppressed sphaleron washout factors down to the electroweak scale. Our method for transmitting the Standard Model broken electroweak symmetry to an inert Higgs sector has several intriguing implications for (electroweak) baryogenesis, early universe thermal histories, and can be scrutinized through Higgs physics phenomenology and electroweak precision measurements at the HL-LHC.

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“…The BFM is also useful when dealing with the Standard Model Effective Field Theory (SMEFT; see [40] for a recent review). In particular, in [32] a master formula that includes the effects of bosonic operators up to dimension six is applied to the calculation of the Renormalization Group equations in the context of the SMEFT.…”

Section: Integrating Out Fermions and Gauge Bosons In The Background ...mentioning

confidence: 99%

“…Once the new Lagrangian is built, we derive the Coleman-Weinberg potential for the scalar fields [27] following the background field method [28][29][30][31][32], that allows for the calculation of the divergent part of the potential in terms of the non-linear sigma fields of the theory. The logarithmic divergences were already given by a master formula [31,32] that was derived rewriting the one-loop effective action in the Schwinger representation and applying a heat kernel expansion in the so-called proper time variable using dimensional regularization. However, we are interested in distinguishing between quadratic and logarithmic divergences so we will rather impose a cut-off in the proper time [33].…”

Section: Introductionmentioning

confidence: 99%

A new and gauge-invariant Littlest Higgs model with T-parity

Illana,

Pérez-Poyatos

2021

Preprint

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We inspect the Littlest Higgs model with T-parity, based on a global symmetry SU(5) spontaneously broken to SO(5), in order to elucidate the pathologies it presents due to the non trivial interplay between the gauge invariance associated to the heavy modes and the discrete T-parity symmetry. In particular, the usual Yukawa Lagrangian responsible for providing masses to the heavy 'mirror' fermions is not gauge invariant. This is because it contains an SO(5) quintuplet of right-handed fermions that transforms non-linearly under SU(5), hence involving in general all SO(5) generators when a gauge transformation is performed and not only those associated to its gauge subgroup. Part of the solution to this problem consists of completing the right-handed fermion quintuplet with T-odd 'mirror partners' and a gauge singlet, what has been previously suggested for other purposes. Furthermore, we find that the singlet must be T-even, the global symmetry group must be enlarged, an additional non-linear sigma field should be introduced to parametrize the spontaneous symmetry breaking and new extra fermionic degrees of freedom are required to give a mass to all fermions in an economic way while preserving gauge invariance. Finally, we derive the Coleman-Weinberg potential for the Goldstone fields using the background field method.

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Master formula for one-loop renormalization of bosonic SMEFT operators

Cited by 7 publications

References 24 publications

Renormalization of Higher-Dimensional Operators from On-shell Amplitudes

Renormalization of Higher-Dimensional Operators from On-shell Amplitudes

A New Approach to Electroweak Symmetry Non-Restoration

A new and gauge-invariant Littlest Higgs model with T-parity

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