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Title: Elements of QED-NRQED effective field theory. II. Matching of contact interactions

Abstract

In 2010 the first extraction of the proton charge radius from muonic hydrogen was found be be five standard deviations away form the regular hydrogen value. Eight years later, this proton radius puzzle is still unresolved. One of the most promising avenues to resolve the puzzle is by a muon-proton scattering experiment called MUSE. The typical momenta of the muons in this experiment are of the order of the muon mass. In this energy regime the muons are relativistic but the protons are non-relativistic. The interaction between them can be described by QED-NRQED effective field theory. In a previous paper we have shown how QED-NRQED reproduces Rosenbluth scattering up to $1/M^2$, where $M$ is the proton mass, and relativistic scattering off a static potential at $${\cal O}(Z^2\alpha^2)$$ and leading power in $M$. In this paper we determine the Wilson coefficients of the four-fermion contact interactions at $${\cal O}(Z^2\alpha^2)$$ and power $1/M^2$. Surprisingly, we find that the coefficient of the spin-independent interaction vanishes, implying that MUSE will be sensitive mostly to the proton charge radius and not spin-independent two-photon exchange effects.

Authors:
 [1];  [1];  [2]
  1. Wayne State Univ., Detroit, MI (United States). Dept. of Physics and Astronomy
  2. Wayne State Univ., Detroit, MI (United States). Dept. of Physics and Astronomy; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Fermilab Center for Particle Astrophysics
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Wayne State Univ., Detroit, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1562149
Alternate Identifier(s):
OSTI ID: 1489388; OSTI ID: 1566784
Report Number(s):
arXiv:1812.05056; FERMILAB-PUB-18-675-T; WSU-HEP-1808
Journal ID: ISSN 2470-0010; PRVDAQ; oai:inspirehep.net:1708749
Grant/Contract Number:  
AC02-07CH11359; SC0007983
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Dye, Steven P., Gonderinger, Matthew, and Paz, Gil. Elements of QED-NRQED effective field theory. II. Matching of contact interactions. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.100.054010.
Dye, Steven P., Gonderinger, Matthew, & Paz, Gil. Elements of QED-NRQED effective field theory. II. Matching of contact interactions. United States. doi:10.1103/PhysRevD.100.054010.
Dye, Steven P., Gonderinger, Matthew, and Paz, Gil. Fri . "Elements of QED-NRQED effective field theory. II. Matching of contact interactions". United States. doi:10.1103/PhysRevD.100.054010.
@article{osti_1562149,
title = {Elements of QED-NRQED effective field theory. II. Matching of contact interactions},
author = {Dye, Steven P. and Gonderinger, Matthew and Paz, Gil},
abstractNote = {In 2010 the first extraction of the proton charge radius from muonic hydrogen was found be be five standard deviations away form the regular hydrogen value. Eight years later, this proton radius puzzle is still unresolved. One of the most promising avenues to resolve the puzzle is by a muon-proton scattering experiment called MUSE. The typical momenta of the muons in this experiment are of the order of the muon mass. In this energy regime the muons are relativistic but the protons are non-relativistic. The interaction between them can be described by QED-NRQED effective field theory. In a previous paper we have shown how QED-NRQED reproduces Rosenbluth scattering up to $1/M^2$, where $M$ is the proton mass, and relativistic scattering off a static potential at ${\cal O}(Z^2\alpha^2)$ and leading power in $M$. In this paper we determine the Wilson coefficients of the four-fermion contact interactions at ${\cal O}(Z^2\alpha^2)$ and power $1/M^2$. Surprisingly, we find that the coefficient of the spin-independent interaction vanishes, implying that MUSE will be sensitive mostly to the proton charge radius and not spin-independent two-photon exchange effects.},
doi = {10.1103/PhysRevD.100.054010},
journal = {Physical Review D},
issn = {2470-0010},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.100.054010

Figures / Tables:

Figure 1 Figure 1: QED-NRQED Two-Photon exchange Feynman diagrams that contribute to forward lepton-proton scattering at O(Z2α2) up to power 1/M2. The double line denotes the NRQED field. The dashed (curly) line represents Coulomb (transverse) photon. The dot, circle, cross, circle-dot, and dotted curly line symbols are defined in appendix C.

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Figures / Tables found in this record:

    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.