EFT anomalous dimensions from the S-matrix

Miró, Joan Elias; Ingoldby, James; Riembau, Marc

doi:10.1007/jhep09(2020)163

Cited by 40 publications

(50 citation statements)

References 48 publications

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“…Since the top quark and the Higgs and electroweak bosons are absent from the plasma for T < T EW , the Higgs-mediated single production cannot occur, and we are again back to the gravity-mediate scenario of the previous section. 13 To summarize, we find that for S = 2 DM it is possible to realize the scenario of Higgs-mediated freeze-in production in a limited region of the parameter space:…”

Section: Quantitative Resultsmentioning

confidence: 76%

“…On-shell amplitude methods, initially developed in the context of massless QCD [1], are finding applications in more and more areas of particle physics. Recently these methods have shed some new light on dynamics of black holes [2][3][4][5], construction of bases of effective field theories (EFTs) [6][7][8][9][10], calculation of renormalization group running [11][12][13][14], to name just a few examples. An important ingredient in this program was the development of a convenient spinor formalism to handle massive particles [15].…”

Section: Introductionmentioning

confidence: 99%

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On-shell effective theory for higher-spin dark matter

2021

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We apply the on-shell amplitude techniques in the domain of dark matter. Without evoking fields and Lagrangians, an effective theory for a massive spin-S particle is defined in terms of on-shell amplitudes, which are written down using the massive spinor formalism. This procedure greatly simplifies the study of theories with a higher-spin dark matter particle. In particular, it provides an efficient way to calculate the rates of processes controlling dark matter production, and offers better physical insight into how different processes depend on the relevant scales in the theory. We demonstrate the applicability of these methods by exploring two scenarios where higher-spin DM is produced via the freeze-in mechanism. One scenario is minimal, involving only universal gravitational interactions, and is compatible with dark matter masses in a very broad range from sub-TeV to the GUT scale. The other scenario involves direct coupling of higher-spin DM to the Standard Model via the Higgs intermediary, and leads to a rich phenomenology, including dark matter decay signatures.

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Section: Quantitative Resultsmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

On-shell effective theory for higher-spin dark matter

2021

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“…[77][78][79][80][81][82][83][84][85]) and consider their renormalization using both conventional and on-shell formalism (see e.g. [86][87][88][89][90][91][92][93][94]). While the state-of-the-art computation is mostly at one-loop order, it would be worth extending the method developed in this paper to general two-loop renormalization in SMEFT (see also [95]).…”

Section: Discussionmentioning

confidence: 99%

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Jin

Ren

Yang

2021

J. High Energ. Phys.

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We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion process. We first discuss the classification of operators and how to construct a good set of basis using both off-shell field theory method and on-shell form factor formalism. To study loop corrections, we apply efficient unitarity-IBP strategy and compute the two-loop minimal form factors of length-3 operators up to dimension sixteen. From the UV divergences of form factor results, we extract the renormalization matrices and analyze the operator mixing behavior in detail. The form factors we compute are also equivalent to Higgs plus three-gluon amplitudes that capture high-order top mass corrections in Higgs EFT. We obtain the analytic finite remainder functions which exhibit several universal transcendentality structures.

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“…The resulting operators will then be evolved to the scale appropriate for the measurement using renormalization group equations (RGE) [45][46][47][48][49][50]. Recently, a deeper connection has been established between the helicity amplitude structures of SMEFT and the RGEs of the operator coefficients [38,[51][52][53][54][55][56][57][58]. In short, an operator is only renormalized by another if the latter contributes at one…”

Section: Robustness Of the Sum Rulesmentioning

confidence: 99%

Sum rules in the standard model effective field theory from helicity amplitudes

Wang

2021

J. High Energ. Phys.

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The dispersion relation of an elastic 4-point amplitude in the forward direction leads to a sum rule that connects the low energy amplitude to the high energy observables. We perform a classification of these sum rules based on massless helicity amplitudes. With this classification, we are able to systematically write down the sum rules for the dimension-6 operators of the Standard Model Effective Field Theory (SMEFT), some of which are absent in previous literatures. These sum rules offer distinct insights on the relations between the operator coefficients in the EFT and the properties of the full theory that generates them. Their applicability goes beyond tree level, and in some cases can be used as a practical method of computing the one loop contributions to low energy observables. They also provide an interesting perspective for understanding the custodial symmetries of the SM Higgs and fermion sectors.

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EFT anomalous dimensions from the S-matrix

Cited by 40 publications

References 48 publications

On-shell effective theory for higher-spin dark matter

On-shell effective theory for higher-spin dark matter

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Sum rules in the standard model effective field theory from helicity amplitudes

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