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The tadpole in the chiral lagrangian of K decays
Affiliation:1. Robotics and Mechatronics Department, University of Twente, the Netherlands;2. Department of Applied Mathematics, University of Twente, the Netherlands;1. Département de Physique, Équipe des Sciences de la matière et du rayonnement, ESMaR, Faculté des Sciences, Université Mohammed V de Rabat, Rabat, Morocco;2. EPTHE, Physics Department, Faculty of Science, Ibn Zohr University, Agadir, Morocco;3. IFT, Dep. de Física, Universidad de Murcia, Campus de Espinardo, E-30100 Murcia, Spain;1. Queen Mary University of London, Centre for Research in String Theory, School of Physics, Mile End Road, London, E1 4NS, England, United Kingdom;2. Theoretische Natuurkunde, Vrije Universiteit Brussel, and The International Solvay Institutes, Pleinlaan 2, B-1050 Brussels, Belgium;1. Department of Physics and Astronomy, Lehman College, City University of New York, NY 10468, USA;2. Department of Physics, Graduate Center, City University of New York, NY 10016, USA;3. Department of Astrophysics, American Museum of Natural History, NY 10024, USA;4. Laboratoire de Physique Théorique et Hautes Énergies - LPTHE Sorbonne Université, CNRS, 4 Place Jussieu, 75005 Paris, France;5. Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom;6. Max–Planck–Institut für Physik, Werner–Heisenberg–Institut, 80805 München, Germany;7. Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München, 80333 München, Germany;1. Institut für Theoretische Physik, Ruprecht-Karls-Universität, Philosophenweg 19, 69120, Heidelberg, Germany;2. Department for Mathematics, University of Pennsylvania, 209 S 33rd Street, Philadelphia, PA 19104, USA;1. Centre de Physique Théorique, École Polytechnique, 91128 Palaiseau Cedex, France;2. École Normale Supérieure de Lyon, 46 Allée d''Italie, 69007 Lyon, France;3. Université de Lyon, UCBL, Institut de Physique Nucléaire de Lyon, UMR 5822, CNRS/IN2P3, 4 rue Enrico Fermi, 69622 Villeurbanne Cedex, France
Abstract:We prove that when the chiral lagrangian is expanded to first order in GF and to any finite order in meson masses and momenta the tadpole can be completely rotated away, namely: the tadpole is not physically observable.
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