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General treatment of {tau} semileptonic decays by polarized-partial-width measurements

Journal Article · · Physical Review, D
 [1]
  1. Department of Physics, State University of New York at Binghamton, Binghamton, New York 13902-6016 (United States)

The most general Lorentz-invariant spin-correlation functions for {tau}{sup {minus}}{r_arrow}{rho}{sup {minus}}{nu}, {ital a}{sup {minus}}{sub 1}{nu}, {ital K}{sup {asterisk}{minus}}{nu}, {pi}{sup {minus}}{nu}, {ital K}{sup {minus}}{nu} are expressed in terms of eight semileptonic parameters. The parameters are physically defined in terms of {tau}-decay partial-width intensities for polarized final states. The parameters are also expressed in terms of a {open_quote}{open_quote}({ital V}{minus}{ital A}) + additional chiral coupling{close_quote}{close_quote} structure in the {ital J}{sup charged}{sub lepton} current, so as to bound effective-mass scales {Lambda} for {open_quote}{open_quote}new physics{close_quote}{close_quote} such as arising from lepton compositeness, leptonic {ital CP} violation, leptonic {ital T} violation, {tau} weak magnetism, weak electricity, and/or second-class currents. The two tests for leptonic {ital CP} violation in {tau}{r_arrow}{rho}{nu} decay are generalized to {tau}{r_arrow}{ital a}{sub 1}{nu} decay and to two additional tests if there are {nu}{sub {ital R}} and {bar {nu}}{sub {ital L}} couplings. For 10{sup 7}({tau}{sup {minus}},{tau}{sup +}) pairs at 10 GeV, from the {l_brace}{rho}{sup {minus}},{rho}{sup +}{r_brace} mode and using the four-variable distribution {ital I}{sub 4}, the ideal statistical percentage errors are, for {xi}, 0.6{percent}, for {zeta}, 0.7{percent}, for {sigma}, 1.3{percent}, and for {omega}, 0.6{percent}. {ital CP} tests are typically {radical}2 worse. Parameters sensitive to leptonic {ital T} violation are {omega}, and the following from the {l_brace}{ital a}{sup {minus}}{sub 1},{ital a}{sup +}{sub 1}{r_brace} mode: using {ital I}{sup {minus}}{sub 5} the errors are, for {eta}, 0.6{percent}; using {ital I}{sub 7}, for {eta}{prime}, 0.013; and using {ital I}{sup {minus}}{sub 7}, for {omega}{prime}, 0.002. (Abstract Truncated)

OSTI ID:
284063
Journal Information:
Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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