On the effective theory of neutrino-electron and neutrino-quark interactions

Richard J. Hill; Oleksandr Tomalak

doi:10.1016/j.physletb.2020.135466

On the effective theory of neutrino-electron and neutrino-quark interactions

Richard J. Hill, Oleksandr Tomalak

Physics And Astronomy

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11 Scopus citations

Abstract

We determine the four-fermion effective theory of neutrino interactions within the Standard Model including one-loop electroweak radiative corrections, in combination with the measured muon lifetime and precision electroweak data. Including two-loop matching and three-loop running corrections, we determine lepton coefficients accounting for all large logarithms through relative order O(αα_s) and quark coefficients accounting for all large logarithms through O(α). We present four-fermion coefficients valid in n_f=3 and n_f=4 flavor quark theories, as well as in the extreme low-energy limit. We relate the coefficients in this limit to neutrino charge radii governing matter effects via forward neutrino scattering on charged particles.

Original language	English
Article number	135466
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	805
DOIs	https://doi.org/10.1016/j.physletb.2020.135466
State	Published - Jun 10 2020

Bibliographical note

Funding Information:
This work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics , under Award Number DE-SC0019095 . Fermilab is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy. The work of O. Tomalak was supported in part by the Visiting Scholars Award Program of the Universities Research Association . O. Tomalak would like to acknowledge the Fermilab theory group and the theory group of Institute for Nuclear Physics at Johannes Gutenberg-Universität Mainz for warm hospitality and support. O. Tomalak is thankful to Kaushik Borah for useful discussions regarding kinematics of scattering experiments, William Jay for advice regarding the literature on semileptonic operators and Mao Zeng for an inspiring question at RADCOR2019 conference. FeynCalc [97,98] , LoopTools [99] , JaxoDraw [100] and Mathematica [101] were extremely useful in this work.

Funding Information:
This work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0019095. Fermilab is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy. The work of O. Tomalak was supported in part by the Visiting Scholars Award Program of the Universities Research Association. O. Tomalak would like to acknowledge the Fermilab theory group and the theory group of Institute for Nuclear Physics at Johannes Gutenberg-Universit?t Mainz for warm hospitality and support. O. Tomalak is thankful to Kaushik Borah for useful discussions regarding kinematics of scattering experiments, William Jay for advice regarding the literature on semileptonic operators and Mao Zeng for an inspiring question at RADCOR2019 conference. FeynCalc [97,98], LoopTools [99], JaxoDraw [100] and Mathematica [101] were extremely useful in this work.

Publisher Copyright:
© 2020 The Author(s)

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2020.135466

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title = "On the effective theory of neutrino-electron and neutrino-quark interactions",

abstract = "We determine the four-fermion effective theory of neutrino interactions within the Standard Model including one-loop electroweak radiative corrections, in combination with the measured muon lifetime and precision electroweak data. Including two-loop matching and three-loop running corrections, we determine lepton coefficients accounting for all large logarithms through relative order O(ααs) and quark coefficients accounting for all large logarithms through O(α). We present four-fermion coefficients valid in nf=3 and nf=4 flavor quark theories, as well as in the extreme low-energy limit. We relate the coefficients in this limit to neutrino charge radii governing matter effects via forward neutrino scattering on charged particles.",

author = "Hill, {Richard J.} and Oleksandr Tomalak",

note = "Funding Information: This work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics , under Award Number DE-SC0019095 . Fermilab is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy. The work of O. Tomalak was supported in part by the Visiting Scholars Award Program of the Universities Research Association . O. Tomalak would like to acknowledge the Fermilab theory group and the theory group of Institute for Nuclear Physics at Johannes Gutenberg-Universit{\"a}t Mainz for warm hospitality and support. O. Tomalak is thankful to Kaushik Borah for useful discussions regarding kinematics of scattering experiments, William Jay for advice regarding the literature on semileptonic operators and Mao Zeng for an inspiring question at RADCOR2019 conference. FeynCalc [97,98] , LoopTools [99] , JaxoDraw [100] and Mathematica [101] were extremely useful in this work. Funding Information: This work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0019095. Fermilab is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy. The work of O. Tomalak was supported in part by the Visiting Scholars Award Program of the Universities Research Association. O. Tomalak would like to acknowledge the Fermilab theory group and the theory group of Institute for Nuclear Physics at Johannes Gutenberg-Universit?t Mainz for warm hospitality and support. O. Tomalak is thankful to Kaushik Borah for useful discussions regarding kinematics of scattering experiments, William Jay for advice regarding the literature on semileptonic operators and Mao Zeng for an inspiring question at RADCOR2019 conference. FeynCalc [97,98], LoopTools [99], JaxoDraw [100] and Mathematica [101] were extremely useful in this work. Publisher Copyright: {\textcopyright} 2020 The Author(s)",

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AB - We determine the four-fermion effective theory of neutrino interactions within the Standard Model including one-loop electroweak radiative corrections, in combination with the measured muon lifetime and precision electroweak data. Including two-loop matching and three-loop running corrections, we determine lepton coefficients accounting for all large logarithms through relative order O(ααs) and quark coefficients accounting for all large logarithms through O(α). We present four-fermion coefficients valid in nf=3 and nf=4 flavor quark theories, as well as in the extreme low-energy limit. We relate the coefficients in this limit to neutrino charge radii governing matter effects via forward neutrino scattering on charged particles.

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On the effective theory of neutrino-electron and neutrino-quark interactions

Abstract

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