Integrating out the standard Higgs field in the path integral

Dittmaier, S.; Grosse-Knetter, Carsten

doi:10.1016/0550-3213(95)00551-x

Cited by 50 publications

(84 citation statements)

References 55 publications

(139 reference statements)

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“…[10,11] one has to consider the fermions in the analysis, which was implicitly done in these references, see also Ref. [21]. We will come back to this point below.…”

Section: The Generating Functional At Order Pmentioning

confidence: 99%

“…Several groups [19][20][21] have performed such a matching calculation for the standard model with a heavy Higgs boson in recent years, thereby extending the results which were obtained long time ago [8,9]. Gradually the importance to maintain gauge invariance in the matching procedure was recognized.…”

Section: Introductionmentioning

confidence: 99%

“…This interplay of bosonic and fermionic operators when employing the equations of motion was also noted in Ref. [21]. In that paper a heavy Higgs boson is integrated out of the standard model including the fermions.…”

Section: B On the Inclusion Of Fermionsmentioning

confidence: 99%

“…Now we are in the position to resume the comparison of our findings for the number of independent low-energy constants in the electroweak chiral Lagrangian with the results found in Refs. [10,11,21]. Furthermore, we want to clarify the role of the oblique correction parameters S, T, and U [2] within our effective field theory analysis.…”

Section: B On the Inclusion Of Fermionsmentioning

confidence: 99%

“…Since these terms break the gauge symmetry these authors, as well as those of Refs. [19][20][21][23][24][25][26], are then working with gauge-dependent Green's functions.…”

Section: A the General Effective Lagrangianmentioning

confidence: 99%

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The electroweak chiral Lagrangian reanalyzed

Nyffeler¹,

Schenk²

2000

Phys. Rev. D

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In this paper we reanalyze the electroweak chiral Lagrangian with particular focus on two issues related to gauge invariance. Our analysis is based on a manifestly gauge-invariant approach that we introduced recently. It deals with gauge-invariant Green's functions and provides a method to evaluate the corresponding generating functional without fixing the gauge. First we show, for the case where no fermions are included in the effective Lagrangian, that the set of low-energy constants currently used in the literature is redundant. In particular, by employing the equations of motion for the gauge fields one can choose to remove two low-energy constants which contribute to the self-energies of the gauge bosons. If fermions are included in the effective field theory analysis the situation is more involved. Even in this case, however, these contributions to the self-energies of the gauge bosons can be removed. The relation of this result to the experimentally determined values for the oblique parameters S, T, and U is discussed. In the second part of the paper we consider the matching relation between a full and an effective theory. We show how the low-energy constants of the effective Lagrangian can be determined by matching gauge-invariant Green's functions in both theories. As an application we explicitly evaluate the low-energy constants for the standard model with a heavy Higgs boson. The matching at the one-loop level and at next-to-leading order in the low-energy expansion is performed employing functional methods.

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“…[10,11] one has to consider the fermions in the analysis, which was implicitly done in these references, see also Ref. [21]. We will come back to this point below.…”

Section: The Generating Functional At Order Pmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: B On the Inclusion Of Fermionsmentioning

confidence: 99%

Section: B On the Inclusion Of Fermionsmentioning

confidence: 99%

“…Since these terms break the gauge symmetry these authors, as well as those of Refs. [19][20][21][23][24][25][26], are then working with gauge-dependent Green's functions.…”

Section: A the General Effective Lagrangianmentioning

confidence: 99%

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The electroweak chiral Lagrangian reanalyzed

Nyffeler¹,

Schenk²

2000

Phys. Rev. D

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Evanescent operators in one-loop matching computations

Fuentes-Martín

König

Pagès

et al. 2023

J. High Energ. Phys.

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Effective Field Theory calculations used in countless phenomenological analyses employ dimensional regularization, and at intermediate stages of computations, the operator bases extend beyond the four-dimensional ones. The extra pieces — the evanescent operators — can ultimately be removed with a suitable renormalization scheme, resulting in a finite shift of the physical operators. Modern Effective Field Theory matching techniques relying on the method of expansion by regions have to be extended to account for this. After illustrating the importance of these shifts in two specific examples, we compute the finite shifts required to remove all evanescent operators appearing in the one-loop matching of generic ultraviolet theories to the Standard Model Effective Field Theory and elucidate the formalism for generic Effective Field Theory calculations.

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SuperTracer: a calculator of functional supertraces for one-loop EFT matching

Fuentes-Martín

König

Pagès

et al. 2021

J. High Energ. Phys.

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We present SuperTracer, a Mathematica package aimed at facilitating the functional matching procedure for generic UV models. This package automates the most tedious parts of one-loop functional matching computations. Namely, the determination and evaluation of all relevant supertraces, including loop integration and Dirac algebra manipulations. The current version of SuperTracer also contains a limited set of output simplifications. However, a further reduction of the output to a minimal basis using Fierz identities, integration by parts, simplification of Dirac structures, and/or light field redefinitions might still be necessary. The code and example notebooks are publicly available at "Image missing".1

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Integrating out the standard Higgs field in the path integral

Cited by 50 publications

References 55 publications

The electroweak chiral Lagrangian reanalyzed

The electroweak chiral Lagrangian reanalyzed

Evanescent operators in one-loop matching computations

SuperTracer: a calculator of functional supertraces for one-loop EFT matching

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