EFTs meet Higgs nonlinearity, compositeness and (neutral) naturalness

A bstract Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators canno...

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Published in:	The journal of high energy physics Vol. 2019; no. 9; pp. 1 - 40
Main Authors:	Li, Hao-Lin, Xu, Ling-Xiao, Yu, Jiang-Hao, Zhu, Shou-hua
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-09-2019 Springer Nature B.V SpringerOpen
Subjects:	Beyond Standard Model Classical and Quantum Gravitation Couplings Effective Field Theories Elementary Particles Field theory Form factors Higgs bosons Higgs Physics High energy physics Nonlinearity Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quarks Regular Article - Theoretical Physics Relativity Theory String Theory Technicolor and Composite Models Effective Field Theories Beyond Standard Model Technicolor and Composite Models Higgs Physics
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Abstract	A bstract Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators cannot fully retain the information of Higgs nonlinearity due to its PNGB nature, we systematically construct low energy Lagrangian in which the information of compositeness and Higgs nonlinearity are encoded in the form factors, the two-point functions in the top sector. We classify naturalness conditions in various scenarios, and first present these form factors in composite neutral naturalness models. After extracting out Higgs effective couplings from these form factors and performing the global fit, we find the value of Higgs top coupling could still be larger than the standard model one if the top quark is embedded in the higher dimensional representations. Also we find the impact of Higgs nonlinearity is enhanced by the large mass splitting between composite states. In this case, pattern of the correlation between the t t ¯ h and t t ¯ hh couplings is quite different for the linear and nonlinear Higgs descriptions.
AbstractList	Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators cannot fully retain the information of Higgs nonlinearity due to its PNGB nature, we systematically construct low energy Lagrangian in which the information of compositeness and Higgs nonlinearity are encoded in the form factors, the two-point functions in the top sector. We classify naturalness conditions in various scenarios, and first present these form factors in composite neutral naturalness models. After extracting out Higgs effective couplings from these form factors and performing the global fit, we find the value of Higgs top coupling could still be larger than the standard model one if the top quark is embedded in the higher dimensional representations. Also we find the impact of Higgs nonlinearity is enhanced by the large mass splitting between composite states. In this case, pattern of the correlation between the tt¯\[ \overline{t} \]h and tt¯\[ \overline{t} \]hh couplings is quite different for the linear and nonlinear Higgs descriptions. Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators cannot fully retain the information of Higgs nonlinearity due to its PNGB nature, we systematically construct low energy Lagrangian in which the information of compositeness and Higgs nonlinearity are encoded in the form factors, the two-point functions in the top sector. We classify naturalness conditions in various scenarios, and first present these form factors in composite neutral naturalness models. After extracting out Higgs effective couplings from these form factors and performing the global fit, we find the value of Higgs top coupling could still be larger than the standard model one if the top quark is embedded in the higher dimensional representations. Also we find the impact of Higgs nonlinearity is enhanced by the large mass splitting between composite states. In this case, pattern of the correlation between the t $$ \overline{t} $$ t ¯ h and t $$ \overline{t} $$ t ¯ hh couplings is quite different for the linear and nonlinear Higgs descriptions. A bstract Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators cannot fully retain the information of Higgs nonlinearity due to its PNGB nature, we systematically construct low energy Lagrangian in which the information of compositeness and Higgs nonlinearity are encoded in the form factors, the two-point functions in the top sector. We classify naturalness conditions in various scenarios, and first present these form factors in composite neutral naturalness models. After extracting out Higgs effective couplings from these form factors and performing the global fit, we find the value of Higgs top coupling could still be larger than the standard model one if the top quark is embedded in the higher dimensional representations. Also we find the impact of Higgs nonlinearity is enhanced by the large mass splitting between composite states. In this case, pattern of the correlation between the t t ¯ h and t t ¯ hh couplings is quite different for the linear and nonlinear Higgs descriptions. Abstract Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem is addressed by composite top partners. Since the standard model effective field theory (SMEFT) with dimension-six operators cannot fully retain the information of Higgs nonlinearity due to its PNGB nature, we systematically construct low energy Lagrangian in which the information of compositeness and Higgs nonlinearity are encoded in the form factors, the two-point functions in the top sector. We classify naturalness conditions in various scenarios, and first present these form factors in composite neutral naturalness models. After extracting out Higgs effective couplings from these form factors and performing the global fit, we find the value of Higgs top coupling could still be larger than the standard model one if the top quark is embedded in the higher dimensional representations. Also we find the impact of Higgs nonlinearity is enhanced by the large mass splitting between composite states. In this case, pattern of the correlation between the t t ¯ $$ \overline{t} $$ h and t t ¯ $$ \overline{t} $$ hh couplings is quite different for the linear and nonlinear Higgs descriptions.
ArticleNumber	10
Author	Yu, Jiang-Hao Li, Hao-Lin Zhu, Shou-hua Xu, Ling-Xiao
Author_xml	– sequence: 1 givenname: Hao-Lin orcidid: 0000-0002-4310-1915 surname: Li fullname: Li, Hao-Lin email: lihaolin@itp.ac.cn organization: CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences – sequence: 2 givenname: Ling-Xiao surname: Xu fullname: Xu, Ling-Xiao organization: Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University – sequence: 3 givenname: Jiang-Hao surname: Yu fullname: Yu, Jiang-Hao organization: CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, School of Physical Sciences, University of Chinese Academy of Sciences – sequence: 4 givenname: Shou-hua surname: Zhu fullname: Zhu, Shou-hua organization: Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Collaborative Innovation Center of Quantum Matter, Center for High Energy Physics, Peking University
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Snippet	A bstract Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and... Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and naturalness problem... Abstract Composite Higgs and neutral-naturalness models are popular scenarios in which the Higgs boson is a pseudo Nambu-Goldstone boson (PNGB), and...
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SubjectTerms	Beyond Standard Model Classical and Quantum Gravitation Couplings Effective Field Theories Elementary Particles Field theory Form factors Higgs bosons Higgs Physics High energy physics Nonlinearity Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Quarks Regular Article - Theoretical Physics Relativity Theory String Theory Technicolor and Composite Models
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Title	EFTs meet Higgs nonlinearity, compositeness and (neutral) naturalness
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