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Title: Is there a paradox in CP asymmetries of {tau}{sup {+-}}{yields}K{sub L,S}{pi}{sup {+-}}{nu} decays?

Abstract

Based on the description of unstable K{sub L,S} particles in quantum field theory (QFT), we compute the time-dependent probabilities for transitions between asymptotic states in {tau}{sup {+-}}{yields}[{pi}{sup +}{pi}{sup -}]{sub K}{pi}{sup {+-}}{nu} decays, where the pair [{pi}{sup +}{pi}{sup -}]{sub K} is the product of (intermediate state) neutral kaon decays. Then we propose a definition of {tau} decays into K{sub L} and K{sub S} states, which reflects into the cancellation between their CP rate asymmetries, thus solving in a natural way the paradox pointed out in [I. I. Bigi and A. I. Sanda, Phys. Lett. B 625, 47 (2005).]. Since our definition of K{sub L,S} final states in {tau} decays is motivated on experimental grounds, our predictions for the integrated CP rate asymmetries can be tested in a dedicated experiment.

Authors:
; ;  [1];  [2];  [2]
  1. Instituto de Fisica de la Universidad de Guanajuato, C.P. 37150, Leon, Guanajuato (Mexico)
  2. (Mexico)
Publication Date:
OSTI Identifier:
21020317
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.076001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMMETRY; CP INVARIANCE; INTERMEDIATE STATE; KAONS NEUTRAL LONG-LIVED; KAONS NEUTRAL SHORT-LIVED; PARTICLE DECAY; PIONS MINUS; PIONS PLUS; PROBABILITY; QUANTUM FIELD THEORY; TAU PARTICLES; TIME DEPENDENCE

Citation Formats

Calderon, G., Delepine, D., Castro, G. Lopez, Instituto de Fisica de la Universidad de Guanajuato, C.P. 37150, Leon, Guanajuato, and Departamento de Fisica, Cinvestav, A.P. 14-740, 07000 Mexico D.F. Is there a paradox in CP asymmetries of {tau}{sup {+-}}{yields}K{sub L,S}{pi}{sup {+-}}{nu} decays?. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.076001.
Calderon, G., Delepine, D., Castro, G. Lopez, Instituto de Fisica de la Universidad de Guanajuato, C.P. 37150, Leon, Guanajuato, & Departamento de Fisica, Cinvestav, A.P. 14-740, 07000 Mexico D.F. Is there a paradox in CP asymmetries of {tau}{sup {+-}}{yields}K{sub L,S}{pi}{sup {+-}}{nu} decays?. United States. doi:10.1103/PHYSREVD.75.076001.
Calderon, G., Delepine, D., Castro, G. Lopez, Instituto de Fisica de la Universidad de Guanajuato, C.P. 37150, Leon, Guanajuato, and Departamento de Fisica, Cinvestav, A.P. 14-740, 07000 Mexico D.F. Sun . "Is there a paradox in CP asymmetries of {tau}{sup {+-}}{yields}K{sub L,S}{pi}{sup {+-}}{nu} decays?". United States. doi:10.1103/PHYSREVD.75.076001.
@article{osti_21020317,
title = {Is there a paradox in CP asymmetries of {tau}{sup {+-}}{yields}K{sub L,S}{pi}{sup {+-}}{nu} decays?},
author = {Calderon, G. and Delepine, D. and Castro, G. Lopez and Instituto de Fisica de la Universidad de Guanajuato, C.P. 37150, Leon, Guanajuato and Departamento de Fisica, Cinvestav, A.P. 14-740, 07000 Mexico D.F},
abstractNote = {Based on the description of unstable K{sub L,S} particles in quantum field theory (QFT), we compute the time-dependent probabilities for transitions between asymptotic states in {tau}{sup {+-}}{yields}[{pi}{sup +}{pi}{sup -}]{sub K}{pi}{sup {+-}}{nu} decays, where the pair [{pi}{sup +}{pi}{sup -}]{sub K} is the product of (intermediate state) neutral kaon decays. Then we propose a definition of {tau} decays into K{sub L} and K{sub S} states, which reflects into the cancellation between their CP rate asymmetries, thus solving in a natural way the paradox pointed out in [I. I. Bigi and A. I. Sanda, Phys. Lett. B 625, 47 (2005).]. Since our definition of K{sub L,S} final states in {tau} decays is motivated on experimental grounds, our predictions for the integrated CP rate asymmetries can be tested in a dedicated experiment.},
doi = {10.1103/PHYSREVD.75.076001},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}