Spinning partial waves for scattering amplitudes in d dimensions

Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite...
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Gespeichert in:

Autor*in:	Burić, Ilija [verfasserIn] Russo, Francesco Vichi, Alessandro

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Field Theories in Higher Dimensions Space-Time Symmetries Scattering Amplitudes

Anmerkung:	© The Author(s) 2023

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2023(2023), 10 vom: 16. Okt.
Übergeordnetes Werk:	volume:2023 ; year:2023 ; number:10 ; day:16 ; month:10

Links:	Volltext

DOI / URN:	10.1007/JHEP10(2023)090

Katalog-ID:	SPR053439724

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allfields	10.1007/JHEP10(2023)090 doi (DE-627)SPR053439724 (SPR)JHEP10(2023)090-e DE-627 ger DE-627 rakwb eng Burić, Ilija verfasserin aut Spinning partial waves for scattering amplitudes in d dimensions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. Field Theories in Higher Dimensions (dpeaa)DE-He213 Space-Time Symmetries (dpeaa)DE-He213 Scattering Amplitudes (dpeaa)DE-He213 Russo, Francesco aut Vichi, Alessandro aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 16. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:16 month:10 https://dx.doi.org/10.1007/JHEP10(2023)090 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 16 10
spelling	10.1007/JHEP10(2023)090 doi (DE-627)SPR053439724 (SPR)JHEP10(2023)090-e DE-627 ger DE-627 rakwb eng Burić, Ilija verfasserin aut Spinning partial waves for scattering amplitudes in d dimensions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. Field Theories in Higher Dimensions (dpeaa)DE-He213 Space-Time Symmetries (dpeaa)DE-He213 Scattering Amplitudes (dpeaa)DE-He213 Russo, Francesco aut Vichi, Alessandro aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 16. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:16 month:10 https://dx.doi.org/10.1007/JHEP10(2023)090 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 16 10
allfields_unstemmed	10.1007/JHEP10(2023)090 doi (DE-627)SPR053439724 (SPR)JHEP10(2023)090-e DE-627 ger DE-627 rakwb eng Burić, Ilija verfasserin aut Spinning partial waves for scattering amplitudes in d dimensions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. Field Theories in Higher Dimensions (dpeaa)DE-He213 Space-Time Symmetries (dpeaa)DE-He213 Scattering Amplitudes (dpeaa)DE-He213 Russo, Francesco aut Vichi, Alessandro aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 16. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:16 month:10 https://dx.doi.org/10.1007/JHEP10(2023)090 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 16 10
allfieldsGer	10.1007/JHEP10(2023)090 doi (DE-627)SPR053439724 (SPR)JHEP10(2023)090-e DE-627 ger DE-627 rakwb eng Burić, Ilija verfasserin aut Spinning partial waves for scattering amplitudes in d dimensions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. Field Theories in Higher Dimensions (dpeaa)DE-He213 Space-Time Symmetries (dpeaa)DE-He213 Scattering Amplitudes (dpeaa)DE-He213 Russo, Francesco aut Vichi, Alessandro aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 16. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:16 month:10 https://dx.doi.org/10.1007/JHEP10(2023)090 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 16 10
allfieldsSound	10.1007/JHEP10(2023)090 doi (DE-627)SPR053439724 (SPR)JHEP10(2023)090-e DE-627 ger DE-627 rakwb eng Burić, Ilija verfasserin aut Spinning partial waves for scattering amplitudes in d dimensions 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. Field Theories in Higher Dimensions (dpeaa)DE-He213 Space-Time Symmetries (dpeaa)DE-He213 Scattering Amplitudes (dpeaa)DE-He213 Russo, Francesco aut Vichi, Alessandro aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 16. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:16 month:10 https://dx.doi.org/10.1007/JHEP10(2023)090 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 16 10
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author	Burić, Ilija
spellingShingle	Burić, Ilija misc Field Theories in Higher Dimensions misc Space-Time Symmetries misc Scattering Amplitudes Spinning partial waves for scattering amplitudes in d dimensions
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topic_title	Spinning partial waves for scattering amplitudes in d dimensions Field Theories in Higher Dimensions (dpeaa)DE-He213 Space-Time Symmetries (dpeaa)DE-He213 Scattering Amplitudes (dpeaa)DE-He213
topic	misc Field Theories in Higher Dimensions misc Space-Time Symmetries misc Scattering Amplitudes
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title	Spinning partial waves for scattering amplitudes in d dimensions
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title_full	Spinning partial waves for scattering amplitudes in d dimensions
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author_browse	Burić, Ilija Russo, Francesco Vichi, Alessandro
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title_sort	spinning partial waves for scattering amplitudes in d dimensions
title_auth	Spinning partial waves for scattering amplitudes in d dimensions
abstract	Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. © The Author(s) 2023
abstractGer	Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. © The Author(s) 2023
abstract_unstemmed	Abstract Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for 2 → 2 scattering of spinning particles in arbitrary spacetime dimension. We identify partial waves as matrix elements of the rotation group with definite covariance properties under a subgroup. This allows to use a variety of techniques from harmonic analysis in order to construct a novel algebra of weight-shifting operators. All spinning partial waves are generated by the action of these operators on a set of known scalar seeds. The text is accompanied by a Mathematica notebook to automatically generate partial waves. These results pave the way to a systematic studies of spinning S-matrix bootstrap and positivity bounds. © The Author(s) 2023
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title_short	Spinning partial waves for scattering amplitudes in d dimensions
url	https://dx.doi.org/10.1007/JHEP10(2023)090
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up_date	2024-07-03T19:32:44.478Z
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