Problems with the Breitenlohner-Maison γ5-scheme in flavour changing neutral currents

A. Barroso; M. A. Doncheski; H. Grotch; J. G. Körner; K. Schilcher

doi:10.1016/0370-2693(91)91336-T

Problems with the Breitenlohner-Maison γ₅-scheme in flavour changing neutral currents

A. Barroso, M. A. Doncheski, H. Grotch, J. G. Körner, K. Schilcher

Penn State Mont Alto

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Abstract

We calculate the flavour changing neutral current (FCNC) decay Z → Q q ̄ at one-loop order using two different γ₅-prescriptions, namely the Breitenlohner-Maison-'t Hooft-Veltman (BM) γ₅-scheme and a naively anticommuting γ₅. The results obtained in the two schemes differ from one another. The BM γ₅-scheme calculation violates the conventional Ward identity relating the Z → Q q ̄ and the unphysical scalar φ_z → Q q ̄ proper vertices which the naive γ₅-calculation satisfies. Hence, we conclude that it is incorrect to naively apply the BM γ₅-scheme if the standard model is renormalized on-shell.

Original language	English (US)
Pages (from-to)	123-126
Number of pages	4
Journal	Physics Letters B
Volume	261
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(91)91336-T
State	Published - May 23 1991

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0370-2693(91)91336-T

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title = "Problems with the Breitenlohner-Maison γ5-scheme in flavour changing neutral currents",

abstract = "We calculate the flavour changing neutral current (FCNC) decay Z → Q q{\= } at one-loop order using two different γ5-prescriptions, namely the Breitenlohner-Maison-'t Hooft-Veltman (BM) γ5-scheme and a naively anticommuting γ5. The results obtained in the two schemes differ from one another. The BM γ5-scheme calculation violates the conventional Ward identity relating the Z → Q q{\= } and the unphysical scalar φz → Q q{\= } proper vertices which the naive γ5-calculation satisfies. Hence, we conclude that it is incorrect to naively apply the BM γ5-scheme if the standard model is renormalized on-shell.",

author = "A. Barroso and Doncheski, {M. A.} and H. Grotch and K{\"o}rner, {J. G.} and K. Schilcher",

note = "Funding Information: {\textquoteright} Supported by NSF Grant PHY-88 19727-01. * Present address, Phenomenology Institute, Physics, University of Wisconsin-Madison, Avenue, Madison, WI 53706, USA. 3 Partially supported by the INIDA program",

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doi = "10.1016/0370-2693(91)91336-T",

language = "English (US)",

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TY - JOUR

T1 - Problems with the Breitenlohner-Maison γ5-scheme in flavour changing neutral currents

AU - Barroso, A.

AU - Doncheski, M. A.

AU - Grotch, H.

AU - Körner, J. G.

AU - Schilcher, K.

N1 - Funding Information: ’ Supported by NSF Grant PHY-88 19727-01. * Present address, Phenomenology Institute, Physics, University of Wisconsin-Madison, Avenue, Madison, WI 53706, USA. 3 Partially supported by the INIDA program

PY - 1991/5/23

Y1 - 1991/5/23

N2 - We calculate the flavour changing neutral current (FCNC) decay Z → Q q ̄ at one-loop order using two different γ5-prescriptions, namely the Breitenlohner-Maison-'t Hooft-Veltman (BM) γ5-scheme and a naively anticommuting γ5. The results obtained in the two schemes differ from one another. The BM γ5-scheme calculation violates the conventional Ward identity relating the Z → Q q ̄ and the unphysical scalar φz → Q q ̄ proper vertices which the naive γ5-calculation satisfies. Hence, we conclude that it is incorrect to naively apply the BM γ5-scheme if the standard model is renormalized on-shell.

AB - We calculate the flavour changing neutral current (FCNC) decay Z → Q q ̄ at one-loop order using two different γ5-prescriptions, namely the Breitenlohner-Maison-'t Hooft-Veltman (BM) γ5-scheme and a naively anticommuting γ5. The results obtained in the two schemes differ from one another. The BM γ5-scheme calculation violates the conventional Ward identity relating the Z → Q q ̄ and the unphysical scalar φz → Q q ̄ proper vertices which the naive γ5-calculation satisfies. Hence, we conclude that it is incorrect to naively apply the BM γ5-scheme if the standard model is renormalized on-shell.

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EP - 126

JO - Physics Letters B

JF - Physics Letters B

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ER -

Problems with the Breitenlohner-Maison γ₅-scheme in flavour changing neutral currents

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