Low-derivative operators of the Standard Model effective field theory via Hilbert series methods
详细信息 查看全文
- 作者：Landon Lehman ; Adam Martin
- 关键词：Gauge Symmetry ; Effective field theories ; Global Symmetries ; Standard Model
- 刊名：Journal of High Energy Physics
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：2016
- 期：2
- 全文大小：694 KB
- 参考文献：[1]L. Lehman and A. Martin, Hilbert Series for Constructing Lagrangians: expanding the phenomenologist’s toolbox, Phys. Rev. D 91 (2015) 105014 [arXiv:1503.07537 ] [INSPIRE ].ADS
[2]B. Henning, X. Lu, T. Melia and H. Murayama, Hilbert series and operator bases with derivatives in effective field theories, arXiv:1507.07240 [INSPIRE ].
[3]P. Pouliot, Molien function for duality, JHEP 01 (1999) 021 [hep-th/9812015 ] [INSPIRE ].CrossRef ADS MathSciNet
[4]S. Benvenuti, B. Feng, A. Hanany and Y.-H. He, Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics, JHEP 11 (2007) 050 [hep-th/0608050 ] [INSPIRE ].CrossRef ADS MathSciNet
[5]F.A. Dolan, Counting BPS operators in N = 4 SYM, Nucl. Phys. B 790 (2008) 432 [arXiv:0704.1038 ] [INSPIRE ].CrossRef ADS MathSciNet
[6]J. Gray, A. Hanany, Y.-H. He, V. Jejjala and N. Mekareeya, SQCD: A Geometric Apercu, JHEP 05 (2008) 099 [arXiv:0803.4257 ] [INSPIRE ].CrossRef ADS
[7]A. Hanany, N. Mekareeya and G. Torri, The Hilbert Series of Adjoint SQCD, Nucl. Phys. B 825 (2010) 52 [arXiv:0812.2315 ] [INSPIRE ].CrossRef ADS MathSciNet
[8]Y. Chen and N. Mekareeya, The Hilbert series of U/SU SQCD and Toeplitz Determinants, Nucl. Phys. B 850 (2011) 553 [arXiv:1104.2045 ] [INSPIRE ].ADS MathSciNet
[9]A. Butti, D. Forcella, A. Hanany, D. Vegh and A. Zaffaroni, Counting Chiral Operators in Quiver Gauge Theories, JHEP 11 (2007) 092 [arXiv:0705.2771 ] [INSPIRE ].CrossRef ADS MathSciNet
[10]B. Feng, A. Hanany and Y.-H. He, Counting gauge invariants: The plethystic program, JHEP 03 (2007) 090 [hep-th/0701063 ] [INSPIRE ].CrossRef ADS MathSciNet
[11]D. Forcella, A. Hanany and A. Zaffaroni, Baryonic Generating Functions, JHEP 12 (2007) 022 [hep-th/0701236 ] [INSPIRE ].CrossRef ADS MathSciNet
[12]S. Benvenuti, A. Hanany and N. Mekareeya, The Hilbert Series of the One Instanton Moduli Space, JHEP 06 (2010) 100 [arXiv:1005.3026 ] [INSPIRE ].CrossRef ADS MathSciNet
[13]A. Hanany, N. Mekareeya and S.S. Razamat, Hilbert Series for Moduli Spaces of Two Instantons, JHEP 01 (2013) 070 [arXiv:1205.4741 ] [INSPIRE ].CrossRef ADS MathSciNet
[14]D. Rodríguez-Gómez and G. Zafrir, On the 5d instanton index as a Hilbert series, Nucl. Phys. B 878 (2014) 1 [arXiv:1305.5684 ] [INSPIRE ].
[15]A. Dey, A. Hanany, N. Mekareeya, D. Rodríguez-Gómez and R.-K. Seong, Hilbert Series for Moduli Spaces of Instantons on \( {\mathbb{C}}^2/{\mathbb{Z}}_n \) , JHEP 01 (2014) 182 [arXiv:1309.0812 ] [INSPIRE ].
[16]A. Hanany and R.-K. Seong, Hilbert series and moduli spaces of k U(N ) vortices, JHEP 02 (2015) 012 [arXiv:1403.4950 ] [INSPIRE ].CrossRef ADS MathSciNet
[17]L. Begin, C. Cummins and P. Mathieu, Generating functions for tensor products, hep-th/9811113 [INSPIRE ].
[18]A. Hanany and R. Kalveks, Highest Weight Generating Functions for Hilbert Series, JHEP 10 (2014) 152 [arXiv:1408.4690 ] [INSPIRE ].CrossRef ADS MathSciNet
[19]E.E. Jenkins and A.V. Manohar, Algebraic Structure of Lepton and Quark Flavor Invariants and CP-violation, JHEP 10 (2009) 094 [arXiv:0907.4763 ] [INSPIRE ].CrossRef ADS
[20]A. Hanany, E.E. Jenkins, A.V. Manohar and G. Torri, Hilbert Series for Flavor Invariants of the Standard Model, JHEP 03 (2011) 096 [arXiv:1010.3161 ] [INSPIRE ].CrossRef ADS MathSciNet
[21]A. Merle and R. Zwicky, Explicit and spontaneous breaking of SU(3) into its finite subgroups, JHEP 02 (2012) 128 [arXiv:1110.4891 ] [INSPIRE ].CrossRef ADS MathSciNet
[22]C. Grojean, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Scaling of Higgs Operators and Γ(h → γγ), JHEP 04 (2013) 016 [arXiv:1301.2588 ] [INSPIRE ].CrossRef ADS MathSciNet
[23]E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence, JHEP 10 (2013) 087 [arXiv:1308.2627 ] [INSPIRE ].CrossRef ADS MathSciNet
[24]E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence, JHEP 01 (2014) 035 [arXiv:1310.4838 ] [INSPIRE ].CrossRef ADS
[25]R. Alonso, E.E. Jenkins, A.V. Manohar and M. Trott, Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology, JHEP 04 (2014) 159 [arXiv:1312.2014 ] [INSPIRE ].CrossRef ADS
[26]J. Elias-Miró, J.R. Espinosa, E. Masso and A. Pomarol, Renormalization of dimension-six operators relevant for the Higgs decays h → γγ, γZ, JHEP 08 (2013) 033 [arXiv:1302.5661 ] [INSPIRE ].CrossRef ADS
[27]J. Elias-Miro, J.R. Espinosa, E. Masso and A. Pomarol, Higgs windows to new physics through D = 6 operators: constraints and one-loop anomalous dimensions, JHEP 11 (2013) 066 [arXiv:1308.1879 ] [INSPIRE ].CrossRef ADS
[28]R. Alonso, H.-M. Chang, E.E. Jenkins, A.V. Manohar and B. Shotwell, Renormalization group evolution of dimension-six baryon number violating operators, Phys. Lett. B 734 (2014) 302 [arXiv:1405.0486 ] [INSPIRE ].CrossRef ADS
[29]R. Alonso, E.E. Jenkins and A.V. Manohar, Holomorphy without Supersymmetry in the Standard Model Effective Field Theory, Phys. Lett. B 739 (2014) 95 [arXiv:1409.0868 ] [INSPIRE ].CrossRef ADS MathSciNet
[30]M. Trott, On the consistent use of Constructed Observables, JHEP 02 (2015) 046 [arXiv:1409.7605 ] [INSPIRE ].CrossRef ADS
[31]B. Henning, X. Lu and H. Murayama, How to use the Standard Model effective field theory, JHEP 01 (2016) 023 [arXiv:1412.1837 ] [INSPIRE ].CrossRef ADS
[32]S. Willenbrock and C. Zhang, Effective Field Theory Beyond the Standard Model, Ann. Rev. Nucl. Part. Sci. 64 (2014) 83 [arXiv:1401.0470 ] [INSPIRE ].CrossRef ADS
[33]J. Elias-Miro, J.R. Espinosa and A. Pomarol, One-loop non-renormalization results in EFTs, Phys. Lett. B 747 (2015) 272 [arXiv:1412.7151 ] [INSPIRE ].CrossRef ADS
[34]R.S. Gupta, A. Pomarol and F. Riva, BSM Primary Effects, Phys. Rev. D 91 (2015) 035001 [arXiv:1405.0181 ] [INSPIRE ].ADS
[35]G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164 ] [INSPIRE ].
[36]M. Duehrssen-Debling et al., Higgs Basis, Proposal for an EFT basis choice for LHC HXSWG, LHC Higgs Cross section Working Group 2, LHCHXSWG-INT-2015-001 .
[37]C. Cheung and C.-H. Shen, Nonrenormalization Theorems without Supersymmetry, Phys. Rev. Lett. 115 (2015) 071601 [arXiv:1505.01844 ] [INSPIRE ].CrossRef ADS
[38]L. Berthier and M. Trott, Consistent constraints on the Standard Model Effective Field Theory, arXiv:1508.05060 [INSPIRE ].
[39]C.-W. Chiang and R. Huo, Standard Model Effective Field Theory: Integrating out a Generic Scalar, JHEP 09 (2015) 152 [arXiv:1505.06334 ] [INSPIRE ].CrossRef ADS
[40]R. Huo, Standard Model Effective Field Theory: Integrating out Vector-Like Fermions, JHEP 09 (2015) 037 [arXiv:1506.00840 ] [INSPIRE ].CrossRef
[41]R. Huo, Effective Field Theory of Integrating out Sfermions in the MSSM: Complete One-Loop Analysis, arXiv:1509.05942 [INSPIRE ].
[42]A. Drozd, J. Ellis, J. Quevillon and T. You, Comparing EFT and Exact One-Loop Analyses of Non-Degenerate Stops, JHEP 06 (2015) 028 [arXiv:1504.02409 ] [INSPIRE ].CrossRef ADS
[43]S. Weinberg, Baryon and Lepton Nonconserving Processes, Phys. Rev. Lett. 43 (1979) 1566 [INSPIRE ].CrossRef ADS
[44]W. Buchmüller and D. Wyler, Effective Lagrangian Analysis of New Interactions and Flavor Conservation, Nucl. Phys. B 268 (1986) 621 [INSPIRE ].CrossRef ADS
[45]B. Grzadkowski, M. Iskrzynski, M. Misiak and J. Rosiek, Dimension-Six Terms in the Standard Model Lagrangian, JHEP 10 (2010) 085 [arXiv:1008.4884 ] [INSPIRE ].CrossRef ADS
[46]L.F. Abbott and M.B. Wise, The Effective Hamiltonian for Nucleon Decay, Phys. Rev. D 22 (1980) 2208 [INSPIRE ].ADS
[47]L. Lehman, Extending the Standard Model Effective Field Theory with the Complete Set of Dimension-7 Operators, Phys. Rev. D 90 (2014) 125023 [arXiv:1410.4193 ] [INSPIRE ].ADS
[48]G.J. Gounaris, J. Layssac and F.M. Renard, Addendum to off-shell structure of the anomalous Z and gamma selfcouplings, Phys. Rev. D 65 (2002) 017302 [INSPIRE ].ADS
[49]C. Degrande, A basis of dimension-eight operators for anomalous neutral triple gauge boson interactions, JHEP 02 (2014) 101 [arXiv:1308.6323 ] [INSPIRE ].CrossRef ADS
[50]H.D. Politzer, Power Corrections at Short Distances, Nucl. Phys. B 172 (1980) 349 [INSPIRE ].CrossRef ADS MathSciNet
[51]H. Georgi, On-shell effective field theory, Nucl. Phys. B 361 (1991) 339 [INSPIRE ].CrossRef ADS
[52]C. Arzt, Reduced effective Lagrangians, Phys. Lett. B 342 (1995) 189 [hep-ph/9304230 ] [INSPIRE ].
[53]C. Grosse-Knetter, Effective Lagrangians with higher derivatives and equations of motion, Phys. Rev. D 49 (1994) 6709 [hep-ph/9306321 ] [INSPIRE ].
[54]H. Simma, Equations of motion for effective Lagrangians and penguins in rare B decays, Z. Phys. C 61 (1994) 67 [hep-ph/9307274 ] [INSPIRE ].
[55]K. Hagiwara, S. Ishihara, R. Szalapski and D. Zeppenfeld, Low-energy effects of new interactions in the electroweak boson sector, Phys. Rev. D 48 (1993) 2182 [INSPIRE ].ADS
[56]B. Henning, X. Lu, T. Melia and H. Murayama, 2, 84, 30, 993, 560, 15456, 11962, 261485, …: Higher dimension operators in the SM EFT,arXiv:1512.03433 [INSPIRE ].
[57]J.L. Gross, J. Yellen and P. Zhang, Handbook of Graph Theory, second edition, Chapman & Hall/CRC (2013). - 作者单位：Landon Lehman (1)
Adam Martin (1)
1. Department of Physics, University of Notre Dame, Nieuwland Science Hall, Notre Dame, IN, 46556, U.S.A. - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Elementary Particles and Quantum Field Theory
Quantum Field Theories, String Theory - 出版者：Springer Berlin / Heidelberg
- ISSN：1029-8479
文摘