No-Go Theorem for Nonstandard Explanations of the τ → K S π ν τ C P Asymmetry

Cirigliano, Vincenzo; Crivellin, Andreas; Hoferichter, Martin

doi:10.1103/PhysRevLett.120.141803

Title: No-Go Theorem for Nonstandard Explanations of the $τ \to K_{S} π ν_{τ}$ $C P$ Asymmetry

Abstract

The C P asymmetry in $τ \to K_{S} π ν_{τ}$ $C P$ , as measured by the BABAR collaboration, differs from the standard model prediction by 2.8 σ . Most nonstandard interactions do not allow for the required strong phase needed to produce a nonvanishing C P asymmetry, leaving only new tensor interactions as a possible mechanism. We demonstrate that, contrary to previous assumptions in the literature, the crucial interference between vector and tensor phases is suppressed by at least 2 orders of magnitude due to Watson’s final-state-interaction theorem. Furthermore, we find that the strength of the relevant C P -violating tensor interaction is strongly constrained by bounds from the neutron electric dipole moment and D – ¯ D mixing. These observations together imply that it is extremely difficult to explain the current $τ \to K_{S} π ν_{τ}$ $C P$ measurement in terms of physics beyond the standard model originating in the ultraviolet.

Authors:: Cirigliano, Vincenzo; Crivellin, Andreas; Hoferichter, Martin

Publication Date:: Fri Apr 06 00:00:00 EDT 2018

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1432106

Alternate Identifier(s):: OSTI ID: 1438118

Report Number(s):: LA-UR-17-31337
Journal ID: ISSN 0031-9007; PRLTAO; 141803

Grant/Contract Number:: AC52-06NA25396; FG02-00ER41132

Resource Type:: Published Article

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 120 Journal Issue: 14; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics

Citation Formats


                    Cirigliano, Vincenzo, Crivellin, Andreas, and Hoferichter, Martin. No-Go Theorem for Nonstandard Explanations of the τ → K S π ν τ C P Asymmetry.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.120.141803.

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                    Cirigliano, Vincenzo, Crivellin, Andreas, & Hoferichter, Martin. No-Go Theorem for Nonstandard Explanations of the τ → K S π ν τ C P Asymmetry.  United States.  https://doi.org/10.1103/PhysRevLett.120.141803

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                    Cirigliano, Vincenzo, Crivellin, Andreas, and Hoferichter, Martin. Fri .  
"No-Go Theorem for Nonstandard Explanations of the τ → K S π ν τ C P Asymmetry".  United States.  https://doi.org/10.1103/PhysRevLett.120.141803.

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@article{osti_1432106,

  title        = {No-Go Theorem for Nonstandard Explanations of the τ → K S π ν τ C P Asymmetry},

  author       = {Cirigliano, Vincenzo and Crivellin, Andreas and Hoferichter, Martin},

  abstractNote = {The C P asymmetry in τ→KSπντ CP, as measured by the BABAR collaboration, differs from the standard model prediction by 2.8 σ . Most nonstandard interactions do not allow for the required strong phase needed to produce a nonvanishing C P asymmetry, leaving only new tensor interactions as a possible mechanism. We demonstrate that, contrary to previous assumptions in the literature, the crucial interference between vector and tensor phases is suppressed by at least 2 orders of magnitude due to Watson’s final-state-interaction theorem. Furthermore, we find that the strength of the relevant C P -violating tensor interaction is strongly constrained by bounds from the neutron electric dipole moment and D – ¯ D mixing. These observations together imply that it is extremely difficult to explain the current τ→KSπντ CP measurement in terms of physics beyond the standard model originating in the ultraviolet.},

  doi          = {10.1103/PhysRevLett.120.141803},

  journal      = {Physical Review Letters},

  number       = 14,

  volume       = 120,

  place        = {United States},

  year         = {Fri Apr 06 00:00:00 EDT 2018},

  month        = {Fri Apr 06 00:00:00 EDT 2018}

}

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The scalar contribution toτ →K πν τ journal, December 1996

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Electroweak radiative corrections to the semihadronic decay rate of the τ lepton journal, December 1990

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C P -Violation in the Renormalizable Theory of Weak Interaction journal, February 1973

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Radiative corrections to β decay and the possibility of a fourth generation journal, January 1986

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Effective lagrangian analysis of new interactions and flavour conservation journal, May 1986

Erratum: Search for CP Violation in the Decays D + → K S π + and D + → K S K + [Phys. Rev. Lett. 88, 041602 (2002)] journal, March 2002

Structure functions in τ decays journal, June 1995

Electroweak radiative corrections to τ decay journal, October 1988

Leading logarithmic corrections to the weak leptonic and semi-leptonic low-energy hamiltonian journal, October 1981

CP violation in τ ± → π ± K S v and D ± → π ± K S : the importance of K S − K L interference journal, April 2012

Violation of CP in variance, C asymmetry, and baryon asymmetry of the universe journal, May 1991

R ECENT P ROGRESS IN B ARYOGENESIS journal, December 1999

First lattice calculation of the electromagnetic operator amplitude 〈π0|Qγ+|K0〉 journal, March 2001

The UTfit collaboration average of D meson mixing data: Winter 2014 journal, March 2014

Improved Experimental Limit on the Electric Dipole Moment of the Neutron journal, September 2006

Erratum: Updated measurements of absolute D + and D 0 hadronic branching fractions and σ ( e + e − → D D ¯ ) at E cm = 3774 MeV [Phys. Rev. D 89 , 072002 (2014)] journal, January 2015

Flavor physics in the quark sector journal, September 2010

Structure functions in ? decays journal, December 1992

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Predicting the τ strange branching ratios and implications for V us journal, October 2013

Dimension-six terms in the Standard Model Lagrangian journal, October 2010

Evidence for C P Violation in the Decay D + → K S 0 π + journal, July 2012

Erratum: Measurements of direct C P violation, C P T symmetry, and other parameters in the neutral kaon system [Phys. Rev. D 67, 012005 (2003)] journal, October 2004

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A precision measurement of direct CP violation in the decay of neutral kaons into two pions journal, September 2002

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Title: No-Go Theorem for Nonstandard Explanations of the $τ \to K_{S} π ν_{τ}$ $C P$ Asymmetry

K π vector form factor, dispersive constraints and τ→ν τ K π decays
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The scalar contribution toτ →K πν τ
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Spin-dependent μ→e conversion
journal, August 2017

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journal, December 1990

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journal, February 1973

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journal, January 2002

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Updated measurements of absolute $D^{+}$ and $D^{0}$ hadronic branching fractions and $σ (e^{+} e^{-} \to D \bar{D})$ at $E_{cm} = 3774 MeV$
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Analyticity constraints on the strangeness changing vector current and applications to τ→Kπντ and τ→Kππντ
journal, November 2007

Some General Relations between the Photoproduction and Scattering of $π$ Mesons
journal, July 1954

Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015

Search for $CP$ Violation in $τ \to K π ν_{τ}$ Decays
journal, February 2002

Can the observed $C P$ asymmetry in $τ \to K π ν_{τ}$ be due to nonstandard tensor interactions?
journal, July 2014

The role of resonances in chiral perturbation theory
journal, July 1989

Erratum: Evidence for $C P$ Violation in the Decay $D^{+} \to K_{S}^{0} π^{+}$ [Phys. Rev. Lett. 109 , 021601 (2012)]
journal, September 2012

Search for $C P$ violation in the decay $τ^{-} \to π^{-} K_{s}^{0} (\geq O π^{0}) ν_{τ}$
journal, February 2012

Matrix elements of the electromagnetic operator between kaon and pion states
journal, October 2011

Effective lagrangian analysis of new interactions and flavour conservation
journal, May 1986

Erratum: Search for CP Violation in the Decays $D^{+} \to K_{S} π^{+}$ and $D^{+} \to {K_{S} K}^{+}$ [Phys. Rev. Lett. 88, 041602 (2002)]
journal, March 2002

Structure functions in τ decays
journal, June 1995

Electroweak radiative corrections to τ decay
journal, October 1988

Leading logarithmic corrections to the weak leptonic and semi-leptonic low-energy hamiltonian
journal, October 1981

CP violation in τ ± → π ± K S v and D ± → π ± K S : the importance of K S − K L interference
journal, April 2012

Violation of CP in variance, C asymmetry, and baryon asymmetry of the universe
journal, May 1991

R ECENT P ROGRESS IN B ARYOGENESIS
journal, December 1999

First lattice calculation of the electromagnetic operator amplitude 〈π0|Qγ+|K0〉
journal, March 2001

The UTfit collaboration average of D meson mixing data: Winter 2014
journal, March 2014

Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006

Erratum: Updated measurements of absolute $D^{+}$ and $D^{0}$ hadronic branching fractions and $σ (e^{+} e^{-} \to D \bar{D})$ at $E_{cm} = 3774 MeV$ [Phys. Rev. D 89 , 072002 (2014)]
journal, January 2015

Flavor physics in the quark sector
journal, September 2010

Structure functions in ? decays
journal, December 1992

Evidence for the $2 π$ Decay of the $K_{2}^{0}$ Meson
journal, July 1964

Predicting the τ strange branching ratios and implications for V us
journal, October 2013

Dimension-six terms in the Standard Model Lagrangian
journal, October 2010

Evidence for $C P$ Violation in the Decay $D^{+} \to K_{S}^{0} π^{+}$
journal, July 2012

Erratum: Measurements of direct $C P$ violation, $C P T$ symmetry, and other parameters in the neutral kaon system [Phys. Rev. D 67, 012005 (2003)]
journal, October 2004

Search for $C P$ violation in the decay $D^{\pm} \to K_{S}^{0} π^{\pm}$
journal, April 2011

The anatomy of in the standard model
journal, June 1990

$C P$ Asymmetries in Charm Decays into Neutral Kaons
journal, October 2017

Progress in Electroweak Baryogenesis
journal, December 1993

K π vector form factor constrained by τ → Kπντ and K l3 decays
journal, September 2010

Violation of <i>CP</i> in variance, <i>C</i> asymmetry, and baryon asymmetry of the universe [Нарушение CP-инвариантности. C-асимметрия и барионная асимметрия Вселенной]
journal, January 1991

A ‘known’ CP asymmetry in τ decays
journal, October 2005

Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016
journal, December 2017

A precision measurement of direct CP violation in the decay of neutral kaons into two pions
journal, September 2002

Model-independent constraints on Δ F = 2 operators and the scale of new physics
journal, March 2008