Amplitude/operator basis in chiral perturbation theory

Low, Ian; Shu, Jing; Xiao, Ming-Lei; Zheng, Yu-Hui

doi:10.1007/jhep01(2023)031

Cited by 13 publications

(5 citation statements)

References 37 publications

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“…(2.8), it needs extra management in the Young tensor method. From the operator-amplitude correspondence, an operator involving the Goldstones corresponds to an on-shell amplitude satisfying the Adler's zero condition in the soft momentum limit [115,116,138,139,[146][147][148][149][150][151][152],…”

Section: Goldstone Bosonsmentioning

confidence: 99%

“…We refer the readers to the original papers refs. [115,116,152] where this construction method was developed for detailed discussions and some explicit examples. In summary, Adler's zero condition makes the Lorentz basis smaller, the structures of which are generally the combinations of the original basis, and the combination coefficients are determined by the system of linear equations such as eq.…”

Section: Jhep01(2024)161mentioning

confidence: 99%

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Effective field theories of axion, ALP and dark photon

Song,

Sun,

2024

J. High Energ. Phys.

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With the help of Young tensor technique, we enumerate the complete and independent set of effective operators up to dim-8 for the extension of the standard model with a Goldstone boson by further imposing the Adler’s zero condition in the soft momentum limit. Such basis can be reduced to describe the axion or majoron effective Lagrangian if further (symmetry) constraints are imposed. Then reformulating dark photon as combination of Goldstone boson and transverse gauge boson, the effective operators of the Goldstone boson can be extended to effective chiral Lagrangian description of the dark photon. For the first time we obtain 0 (0), 6 (44), 1 (1), 44 (356), 32 (520) operators in Goldstone effective field theory, and 9 (49), 0 (0), 108 (676), 10 (426), 1904 (40783) operators in dark photon effective field theory at the dimension 4, 5, 6, 7, 8 for one (three) generation of fermions.

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Section: Goldstone Bosonsmentioning

confidence: 99%

Section: Jhep01(2024)161mentioning

confidence: 99%

Effective field theories of axion, ALP and dark photon

Song,

Sun,

2024

J. High Energ. Phys.

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“…The Goldstone bosons need an extra process to deal with since they are scalars whose amplitudes satisfy the Adler's zero condition [151,152,[163][164][165][166][167][168][169][170][171]]. In the soft momentum limit, an operator involving the Goldstones corresponds to an on-shell amplitude satisfying…”

Section: Goldstone Bosonsmentioning

confidence: 99%

Complete EFT operator bases for dark matter and weakly-interacting light particle

Song,

Sun,

2024

J. High Energ. Phys.

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The standard model can be extended to include weakly-interacting light particle (WILP): real or complex singlet scalar with a conserved U(1) charge, Majorana or Dirac neutral fermion, neutral or hidden-charged vector boson, etc. Imposing the Z2 symmetry, these particles can be lifted as the weakly-interacting massive particle (WIMP), the candidate of dark matter. Instead, imposing the shift symmetry on the scalar components gives rise to the axion-like particle, dark photon, etc. Utilizing these light degrees of freedom along with the standard model particles and imposing different symmetries, we construct the complete and independent sets of effective operators up to dimension eight with the Young tensor technique, consistent with counting from the Hilbert series.

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“…Indeed, on-shell methods have emerged in recent years as a powerful alternative to EFT Lagrangian constructions [29][30][31][32][33][34][35][36][37][38][39][40]. Bottom-up constructions of SM, or SM like amplitudes were discussed in [41,42,31,[43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

An EFT hunter's guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes

Liu¹,

Ma²,

Shadmi³

et al. 2023

Preprint

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We derive the contact terms contributing to the four-point amplitudes of the standard-model particles, keeping terms with up to quartic energy growth. Imposing just the unbroken low-energy symmetry, and treating the electroweak gauge bosons and the Higgs as independent degrees of freedom, we obtain the most general four-point contact-term amplitudes, corresponding to the HEFT framework. The contact terms are spanned by a basis of Stripped Contact Terms (SCTs), which carry the polarization information, multiplied by polynomials in the Mandelstam invariants. For terms with quadratic energy growth, we also derive the low-energy SMEFT predictions, via on-shell Higgsing of the massless SMEFT contact terms. We discuss several aspects of bottom-up versus top-down on-shell derivations of the HEFT and SMEFT amplitudes, highlighting in particular the simple counting of HEFT dimensions in the on-shell approach and the transparent relation between perturbative unitarity and gauge-invariance in the little-group covariant massive spinor formalism. Our results provide a formulation of EFT analyses directly in terms of observable quantities. For terms with quadratic energy growth, we also provide the mapping to the Warsaw basis. 4.3.9 γγγγ 4.3.10 gggZ, gggγ and γγγZ 4.3.11 ggZZ and γγZZ 4.3.12 ggW W and γγW W 4.3.13 γZW W 4.3.14 γZZZ 4.3.15 ggγγ 4.3.16 ggγZ 4.3.17gggg 4.4 Fermionic Amplitudes with Massless Vectors 4.4.1 f c f γh and f c f gh 4.4.2 ggf c f and γγf c f 4.4.3 γgf c f 4.4.4 γZf c f , γW f c f ′ , gZf c f and gW f c f ′ 5 Conclusions 25 A W W hh: On-shell construction of the HEFT and SMEFT amplitudes and on-shell Higgsing 26 A.1 The structure of the full amplitude A.2 Four-point contact terms from on-shell Higgsing A.3 The W W h coupling from on-shell Higgsing B Energy-growth of factorizable amplitudes 33

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Amplitude/operator basis in chiral perturbation theory

Cited by 13 publications

References 37 publications

Effective field theories of axion, ALP and dark photon

Effective field theories of axion, ALP and dark photon

Complete EFT operator bases for dark matter and weakly-interacting light particle

An EFT hunter's guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes

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