Resummation of angular dependent corrections in spontaneously broken gauge theories
Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) cor...
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| Autor*in: |
Melles, M. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2002 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 |
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| Übergeordnetes Werk: |
Enthalten in: The European physical journal / C - Springer-Verlag, 1998, 24(2002), 2 vom: Juni, Seite 193-204 |
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| Übergeordnetes Werk: |
volume:24 ; year:2002 ; number:2 ; month:06 ; pages:193-204 |
| Links: |
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| DOI / URN: |
10.1007/s100520200942 |
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OLC2069072053 |
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| 245 | 1 | 0 | |a Resummation of angular dependent corrections in spontaneously broken gauge theories |
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| 520 | |a Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. | ||
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10.1007/s100520200942 doi (DE-627)OLC2069072053 (DE-He213)s100520200942-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Melles, M. verfasserin aut Resummation of angular dependent corrections in spontaneously broken gauge theories 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. Gauge Boson Logarithmic Correction High Order Contribution Gauge Boson Mass Future Collider Enthalten in The European physical journal / C Springer-Verlag, 1998 24(2002), 2 vom: Juni, Seite 193-204 (DE-627)235469777 (DE-600)1397769-6 (DE-576)061879150 1434-6044 nnns volume:24 year:2002 number:2 month:06 pages:193-204 https://doi.org/10.1007/s100520200942 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4317 AR 24 2002 2 06 193-204 |
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10.1007/s100520200942 doi (DE-627)OLC2069072053 (DE-He213)s100520200942-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Melles, M. verfasserin aut Resummation of angular dependent corrections in spontaneously broken gauge theories 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. Gauge Boson Logarithmic Correction High Order Contribution Gauge Boson Mass Future Collider Enthalten in The European physical journal / C Springer-Verlag, 1998 24(2002), 2 vom: Juni, Seite 193-204 (DE-627)235469777 (DE-600)1397769-6 (DE-576)061879150 1434-6044 nnns volume:24 year:2002 number:2 month:06 pages:193-204 https://doi.org/10.1007/s100520200942 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4317 AR 24 2002 2 06 193-204 |
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10.1007/s100520200942 doi (DE-627)OLC2069072053 (DE-He213)s100520200942-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Melles, M. verfasserin aut Resummation of angular dependent corrections in spontaneously broken gauge theories 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. Gauge Boson Logarithmic Correction High Order Contribution Gauge Boson Mass Future Collider Enthalten in The European physical journal / C Springer-Verlag, 1998 24(2002), 2 vom: Juni, Seite 193-204 (DE-627)235469777 (DE-600)1397769-6 (DE-576)061879150 1434-6044 nnns volume:24 year:2002 number:2 month:06 pages:193-204 https://doi.org/10.1007/s100520200942 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4317 AR 24 2002 2 06 193-204 |
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10.1007/s100520200942 doi (DE-627)OLC2069072053 (DE-He213)s100520200942-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Melles, M. verfasserin aut Resummation of angular dependent corrections in spontaneously broken gauge theories 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. Gauge Boson Logarithmic Correction High Order Contribution Gauge Boson Mass Future Collider Enthalten in The European physical journal / C Springer-Verlag, 1998 24(2002), 2 vom: Juni, Seite 193-204 (DE-627)235469777 (DE-600)1397769-6 (DE-576)061879150 1434-6044 nnns volume:24 year:2002 number:2 month:06 pages:193-204 https://doi.org/10.1007/s100520200942 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4317 AR 24 2002 2 06 193-204 |
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10.1007/s100520200942 doi (DE-627)OLC2069072053 (DE-He213)s100520200942-p DE-627 ger DE-627 rakwb eng 530 VZ 530 VZ Melles, M. verfasserin aut Resummation of angular dependent corrections in spontaneously broken gauge theories 2002 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. Gauge Boson Logarithmic Correction High Order Contribution Gauge Boson Mass Future Collider Enthalten in The European physical journal / C Springer-Verlag, 1998 24(2002), 2 vom: Juni, Seite 193-204 (DE-627)235469777 (DE-600)1397769-6 (DE-576)061879150 1434-6044 nnns volume:24 year:2002 number:2 month:06 pages:193-204 https://doi.org/10.1007/s100520200942 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_30 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_70 GBV_ILN_130 GBV_ILN_267 GBV_ILN_2003 GBV_ILN_2006 GBV_ILN_2018 GBV_ILN_2409 GBV_ILN_4029 GBV_ILN_4082 GBV_ILN_4116 GBV_ILN_4277 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4317 AR 24 2002 2 06 193-204 |
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Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. 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resummation of angular dependent corrections in spontaneously broken gauge theories |
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Resummation of angular dependent corrections in spontaneously broken gauge theories |
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Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 |
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Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 |
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Abstract. Recent investigations of electroweak radiative corrections have revealed the importance of higher order contributions in high energy processes, where the size of typical corrections can exceed those associated with QCD considerably. Beyond one loop, only universal (angular independent) corrections are known to all orders except for massless $e^+ e^- \rightarrow f {\overline f}$ processes, where also angle dependent corrections exist in the literature. In this paper we present general arguments for the consistent resummation of angle dependent subleading (SL) logarithmic corrections to all orders in the regime where all invariants are still large compared to the gauge boson masses. We discuss soft isospin correlations, fermion mass and gauge boson mass gap effects, the longitudinal and Higgs boson sector as well as mixing contributions including CKM effects for massive quarks. Two loop results for the right handed Standard Model are generalized in the context of the high energy effective theory based on the standard model Lagrangian in the symmetric basis with the appropriate matching conditions to include the soft QED regime. The result is expressed in exponentiated operator form in a CKM extended isospin space in the symmetric basis. Thus, a full electroweak SL treatment based on the infrared evolution equation method is formulated for arbitrary high energy processes at future colliders. Comparisons with known results are presented. © Springer-Verlag Berlin Heidelberg / Società Italiana di Fisica 2002 |
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