Low energy behaviour of standard model extensions

Boggia, Michele; Gómez-Ambrosio, Raquel; Passarino, Giampiero

doi:10.1007/jhep05(2016)162

Cited by 43 publications

(59 citation statements)

References 41 publications

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“…We have explored the low-energy consequences of generic heavy states with different quantum numbers, coupled to the SM particles, i.e., the fingerprints they leave on the LECs. Similar studies have been done before for specific weakly-coupled models of new physics [83][84][85][86][87][88][89][90], within the much simpler linear framework with a SM doublet Higgs; in some cases, even at the one-loop level [91][92][93][94][95][96][97][98][99][100] in the usual perturbative expansion in powers of small couplings. However, the LECs of the generic non-linear EWET have remained largely unexplored until now [12,72,73].…”

Section: Jhep04(2017)012mentioning

confidence: 54%

Fingerprints of heavy scales in electroweak effective Lagrangians

Pich

Rosell

Santos

et al. 2017

J. High Energ. Phys.

106

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The couplings of the electroweak effective theory contain information on the heavy-mass scales which are no-longer present in the low-energy Lagrangian. We build a general effective Lagrangian, implementing the electroweak chiral symmetry breaking SU(2) L ⊗ SU(2) R → SU(2) L+R , which couples the known particle fields to heavier states with bosonic quantum numbers J P = 0 ± and 1 ± . We consider colour-singlet heavy fields that are in singlet or triplet representations of the electroweak group. Integrating out these heavy scales, we analyze the pattern of low-energy couplings among the light fields which are generated by the massive states. We adopt a generic non-linear realization of the electroweak symmetry breaking with a singlet Higgs, without making any assumption about its possible doublet structure. Special attention is given to the different possible descriptions of massive spin-1 fields and the differences arising from naive implementations of these formalisms, showing their full equivalence once a proper short-distance behaviour is required.

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Section: Jhep04(2017)012mentioning

confidence: 54%

Fingerprints of heavy scales in electroweak effective Lagrangians

Pich

Rosell

Santos

et al. 2017

J. High Energ. Phys.

106

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“…techniques exist for doing so up to one-loop level [18][19][20][21][22][23][24][25][26][27][28][29]. 2 In practice, functional methods have typically been overlooked in favour of the more traditional Feynman diagram approach, where many tools have been developed to ease otherwise complicated calculations.…”

Section: Jhep08(2017)054mentioning

confidence: 99%

“…[40], that functional methods did not appear to account for one-loop matching involving both heavy and light particles in the loop. This was addressed by us [27] and others [25,26,28], each demonstrating different procedures for treating mixed heavy-light matching in the path integral approach. 3 We emphasised in particular that our method also allowed for the computation of universal terms [27], that could in principle be added to the original UOLEA.…”

Section: Jhep08(2017)054mentioning

confidence: 99%

Extending the Universal One-Loop Effective Action: heavy-light coefficients

Ellis

Quevillon

You

et al. 2017

J. High Energ. Phys.

115

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The Universal One-Loop Effective Action (UOLEA) is a general expression for the effective action obtained by evaluating in a model-independent way the one-loop expansion of a functional path integral. It can be used to match UV theories to their low-energy EFTs more efficiently by avoiding redundant steps in the application of functional methods, simplifying the process of obtaining Wilson coefficients of operators up to dimension six. In addition to loops involving only heavy fields, matching may require the inclusion of loops containing both heavy and light particles. Here we use the recentlydeveloped covariant diagram technique to extend the UOLEA to include heavy-light terms which retain the same universal structure as the previously-derived heavy-only terms. As an example of its application, we integrate out a heavy singlet scalar with a linear coupling to a light doublet Higgs. The extension presented here is a first step towards completing the UOLEA to incorporate all possible structures encountered in a covariant derivative expansion of the one-loop path integral.

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“…The complete one-loop anomalous dimension matrix (ADM) for the dimension-six operators has been calculated very recently in this basis [3][4][5][6]. These advances, together with simultaneous theoretical developments occurring in the field (such as in the matching of specific models to the SMEFT at one loop [7][8][9][10][11][12]14,15] and in the automatization of calculations within the SMEFT [13]), pave the way to the systematic use of EFT methods in the analysis of new physics models. The power of the SMEFT approach is that it allows to relate physics at disparate energy scales, in our case properties of the high-energy dynamics at the scale , with measurements that take place at low energies, while performing an expansion in 1/ that allows to keep leading new physics effects in a consistent manner.…”

Section: Introductionmentioning

confidence: 99%

DsixTools: the standard model effective field theory toolkit

et al. 2017

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We present DsixTools, a Mathematica package for the handling of the dimension-six standard model effective field theory. Among other features, DsixTools allows the user to perform the full one-loop renormalization group evolution of the Wilson coefficients in the Warsaw basis. This is achieved thanks to the SMEFTrunner module, which implements the full one-loop anomalous dimension matrix previously derived in the literature. In addition, DsixTools also contains modules devoted to the matching to the B = S = 1, 2 and B = C = 1 operators of the Weak Effective Theory at the electroweak scale, and their QCD and QED Renormalization group evolution below the electroweak scale.

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Low energy behaviour of standard model extensions

Cited by 43 publications

References 41 publications

Fingerprints of heavy scales in electroweak effective Lagrangians

Fingerprints of heavy scales in electroweak effective Lagrangians

Extending the Universal One-Loop Effective Action: heavy-light coefficients

DsixTools: the standard model effective field theory toolkit

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