Built on

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1982
Earlier work this paper cites.
M. K. Gaillard, “The Effective One Loop Lagrangian With Derivative Couplings,” Nucl. Phys. B 268
1986
Earlier work this paper cites.
L. H. Chan, “Derivative Expansion for the One Loop Effective Actions With Internal Symmetry,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
O. Cheyette, “Effective Action for the Standard Model With Large Higgs Mass,” Nucl. Phys. B 297
1988
Earlier work this paper cites.
M. S. Bilenky and A. Santamaria, “One loop effective Lagrangian for a standard model with a heavy charged scalar singlet,” Nucl. Phys. B 420
1994
Earlier work this paper cites.
S. Dittmaier and C. Grosse-Knetter, “Deriving nondecoupling effects of heavy fields from the path integral: A Heavy Higgs field in an SU(2) gauge theory,” Phys. Rev. D 52
1995
Earlier work this paper cites.

Similar

M. E. Peskin and D. V. Schroeder, “An Introduction to quantum field theory,” Reading, USA: Addison-Wesley (1995) 842 p
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Cited alongside, same era.
S. Dittmaier and C. Grosse-Knetter, “Integrating out the standard Higgs field in the path integral,” Nucl. Phys. B 459
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2002
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Cited alongside, same era.

Then

R. Huo, “Standard Model Effective Field Theory: Integrating out Vector-Like Fermions,” JHEP 1509
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2016
Closest in time.
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F. del Aguila, Z. Kunszt and J. Santiago, “One-loop effective Lagrangians after matching,” Eur. Phys. J. C 76
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2016

Covariant diagrams for one-loop matching

Zhang, Zhengkang

Understand

We present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory.

Various terms following from a covariant derivative expansion (CDE) are represented by diagrams which, unlike conventional Feynman diagrams, involve gauge-covariant quantities and are thus dubbed "covariant diagrams." The use of covariant diagrams helps organize and simplify one-loop matching calculations, which we illustrate with examples.
Of particular interest is the derivation of UV model-independent universal results, which reduce matching calculations of specific UV models to applications of master formulas.
We show how such derivation can be done in a more concise manner than the previous literature, and discuss how additional structures that are not directly captured by existing universal results, including mixed heavy-light loops, open covariant derivatives, and mixed statistics, can be easily accounted for.

Built on

L. F. Abbott, “Introduction to the Background Field Method,” Acta Phys. Polon. B 13
1982
Earlier work this paper cites.
M. K. Gaillard, “The Effective One Loop Lagrangian With Derivative Couplings,” Nucl. Phys. B 268
1986
Earlier work this paper cites.
L. H. Chan, “Derivative Expansion for the One Loop Effective Actions With Internal Symmetry,” Phys. Rev. Lett. 57
1986
Earlier work this paper cites.
O. Cheyette, “Effective Action for the Standard Model With Large Higgs Mass,” Nucl. Phys. B 297
1988
Earlier work this paper cites.
M. S. Bilenky and A. Santamaria, “One loop effective Lagrangian for a standard model with a heavy charged scalar singlet,” Nucl. Phys. B 420
1994
Earlier work this paper cites.
S. Dittmaier and C. Grosse-Knetter, “Deriving nondecoupling effects of heavy fields from the path integral: A Heavy Higgs field in an SU(2) gauge theory,” Phys. Rev. D 52
1995
Earlier work this paper cites.

Similar

M. E. Peskin and D. V. Schroeder, “An Introduction to quantum field theory,” Reading, USA: Addison-Wesley (1995) 842 p
1995
Cited alongside, same era.
S. Dittmaier and C. Grosse-Knetter, “Integrating out the standard Higgs field in the path integral,” Nucl. Phys. B 459
1996
Cited alongside, same era.
M. Beneke and V. A. Smirnov, “Asymptotic expansion of Feynman integrals near threshold,” Nucl. Phys. B 522
1998
Cited alongside, same era.
V. A. Smirnov, “Applied asymptotic expansions in momenta and masses,” Springer Tracts Mod. Phys. 177
2002
Cited alongside, same era.
B. Jantzen, “Foundation and generalization of the expansion by regions,” JHEP 1112
Original
2011
Cited alongside, same era.