Electron mass singularities in semileptonic kaon decays

被引：1

作者：

Seng, Chien -Yeah ^{[1
,2
]}

Marciano, William J. ^{[3
]}

Meissner, Ulf -G. ^{[1
,2
,4
,5
,6
]}

机构：

[1] Univ Bonn, Helmholtz Inst Strahlen & Kernphys, D-53115 Bonn, Germany

[2] Univ Bonn, Bethe Ctr Theoret Phys, D-53115 Bonn, Germany

[3] Brookhaven Natl Lab, Dept Phys, Upton, NY 11973 USA

[4] Forschungszentrum Julich, Inst Kernphys, Inst Adv Simulat, D-52425 Julich, Germany

[5] Forschungszentrum Julich, Julich Ctr Hadron Phys, D-52425 Julich, Germany

[6] Tbilisi State Univ, Tbilisi 0186, Georgia

来源：

PHYSICAL REVIEW D | 2022年 / 106卷 / 01期

关键词：

RADIATIVE-CORRECTIONS; DIMENSIONAL REGULARIZATION; INFRARED PROBLEMS; RENORMALIZATION; SCATTERING;

D O I：

10.1103/PhysRevD.106.013006

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that recent improvements in the O(alpha) long-distance quantum electrodynamics (QED) corrections to the radiative inclusive K-e3 decay rate using the Sirlin representation are free from infrared divergences and collinear electron mass singularities in the limit m(e) -> 0, as predicted by the KinoshitaLee-Nauenberg theorem. We also verify that in massless QED with the simultaneous dimensional regularization of QED photon infrared divergences and electron mass singularities leads to the same result for the inclusive rate in the limit of four space-time dimensions. The equivalence of the two approaches results in part from an interesting interplay between a small chirality-breaking effect in the massless electron limit and the generalization of space-time algebra and phase space integrals to d > 4 dimensions. Our finding supports the small theoretical uncertainty claimed for K-e3 radiative inclusive rates and reaffirms its utility in precision unitarity tests of the quark mixing matrix.

引用

页数：17

共 91 条

[1] Dispersive analysis of KLμ3 and KLe3 scalar and vector form factors using KTeV data [J].

Abouzaid, E. ;

Arenton, M. ;

Barker, A. R. ;

Bellantoni, L. ;

Blucher, E. ;

Bock, G. J. ;

Cheu, E. ;

Coleman, R. ;

Corcoran, M. D. ;

Cox, B. ;

Erwin, A. R. ;

Escobar, C. O. ;

Glazov, A. ;

Gomes, R. A. ;

Gouffon, P. ;

Hsiung, Y. B. ;

Jensen, D. A. ;

Kessler, R. ;

Kotera, K. ;

Ledovskoy, A. ;

McBride, P. L. ;

Monnier, E. ;

Nguyen, H. ;

Niclasen, R. ;

Phillips, D. G., II ;

Ramberg, E. J. ;

Ray, R. E. ;

Ronquest, M. ;

Santos, E. ;

Slater, W. ;

Smith, D. ;

Solomey, N. ;

Swallow, E. C. ;

Toale, P. A. ;

Tschirhart, R. ;

Wah, Y. W. ;

Wang, J. ;

White, H. B. ;

Whitmore, J. ;

Wilking, M. J. ;

Winston, R. ;

Worcester, E. T. ;

Yamanaka, T. ;

Zimmerman, E. D. ;

Zukanovich, R. F. ;

Bernard, Veronique ;

Oertel, Micaela ;

Passemar, Emilie ;

Stern, Jan .

PHYSICAL REVIEW D, 2010, 81 (05)

[2] An evaluation of ¦Vus¦ and precise tests of the Standard Model from world data on leptonic and semileptonic kaon decays [J].

Antonelli, M. ;

Cirigliano, V. ;

Isidori, G. ;

Mescia, F. ;

Moulson, M. ;

Neufeld, H. ;

Passemar, E. ;

Palutan, M. ;

Sciascia, B. ;

Sozzi, M. ;

Wanke, R. ;

Yushchenko, O. P. .

EUROPEAN PHYSICAL JOURNAL C, 2010, 69 (3-4) :399-424

[3] METHOD OF GAUGE-INVARIANT REGULARIZATION [J].

ASHMORE, JF .

LETTERE AL NUOVO CIMENTO, 1972, 4 (08) :289-+

[4] Measurement of the form factors of charged kaon semileptonic decays [J].

Batley, J. R. ;

Kalmus, G. ;

Lazzeroni, C. ;

Munday, D. J. ;

Slater, M. W. ;

Wotton, S. A. ;

Arcidiacono, R. ;

Bocquet, G. ;

Cabibbo, N. ;

Ceccucci, A. ;

Cundy, D. ;

Falaleev, V. ;

Fidecaro, M. ;

Gatignon, L. ;

Gonidec, A. ;

Kubischta, W. ;

Maier, A. ;

Norton, A. ;

Patel, M. ;

Peters, A. ;

Balev, S. ;

Frabetti, P. L. ;

Gersabeck, E. ;

Goudzovski, E. ;

Hristov, P. ;

Kekelidze, V. ;

Kozhuharov, V. ;

Litov, L. ;

Madigozhin, D. ;

Molokanova, N. ;

Polenkevich, I. ;

Potrebenikov, Yu. ;

Shkarovskiy, S. ;

Stoynev, S. ;

Zinchenko, A. ;

Monnier, E. ;

Swallow, E. ;

Winston, R. ;

Rubin, P. ;

Walker, A. ;

Dalpiaz, P. ;

Damiani, C. ;

Fiorini, M. ;

Martini, M. ;

Petrucci, F. ;

Savrie, M. ;

Scarpa, M. ;

Wahl, H. ;

Baldini, W. ;

Ramusino, A. Cotta .

JOURNAL OF HIGH ENERGY PHYSICS, 2018, (10)

[5] |Vus| from Kl3 decay and four-flavor lattice QCD [J].

Bazavov, A. ;

Bernard, C. ;

DeTar, C. ;

Du, Daping ;

El-Khadra, A. X. ;

Freeland, E. D. ;

Gamiz, E. ;

Gottlieb, Steven ;

Heller, U. M. ;

Komijani, J. ;

Kronfeld, A. S. ;

Laiho, J. ;

Mackenzie, P. B. ;

Neil, E. T. ;

Primer, T. ;

Simone, J. N. ;

Sugar, R. ;

Toussaint, D. ;

Van de Water, R. S. .

PHYSICAL REVIEW D, 2019, 99 (11)

[6] B- and D-meson leptonic decay constants from four-flavor lattice QCD [J].

Bazavov, A. ;

Bernard, C. ;

Brown, N. ;

Detar, C. ;

El-Khadra, A. X. ;

Gamiz, E. ;

Gottlieb, Steven ;

Heller, U. M. ;

Komijani, J. ;

Kronfeld, A. S. ;

Laiho, J. ;

Mackenzie, P. B. ;

Neil, E. T. ;

Simone, J. N. ;

Sugar, R. L. ;

Toussaint, D. ;

Van de Water, R. S. .

PHYSICAL REVIEW D, 2018, 98 (07)

[7] Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks [J].

Bazavov, A. ;

Bernard, C. ;

Komijani, J. ;

Bouchard, C. M. ;

DeTar, C. ;

Foley, J. ;

Levkova, L. ;

Du, D. ;

Laiho, J. ;

El-Khadra, A. X. ;

Freeland, E. D. ;

Gamiz, E. ;

Gottlieb, Steven ;

Heller, U. M. ;

Kim, J. ;

Toussaint, D. ;

Kronfeld, A. S. ;

Mackenzie, P. B. ;

Simone, J. N. ;

Van de Water, R. S. ;

Zhou, R. ;

Neil, E. T. ;

Sugar, R. .

PHYSICAL REVIEW D, 2014, 90 (07)

[8] Kaon semileptonic vector form factor and determination of |Vus| using staggered fermions [J].

Bazavov, A. ;

Bernard, C. ;

Bouchard, C. M. ;

DeTar, C. ;

Du, Daping ;

El-Khadra, A. X. ;

Foley, J. ;

Freeland, E. D. ;

Gamiz, E. ;

Gottlieb, Steven ;

Heller, U. M. ;

Kim, Jongjeong ;

Kronfeld, A. S. ;

Laiho, J. ;

Levkova, L. ;

Mackenzie, P. B. ;

Neil, E. T. ;

Oktay, M. B. ;

Qiu, Si-Wei ;

Simone, J. N. ;

Sugar, R. ;

Toussaint, D. ;

Van de Water, R. S. ;

Zhou, Ran .

PHYSICAL REVIEW D, 2013, 87 (07)

[9]

Bazavov A, 2009, P SCI CD09

[10]

Becher T, 2015, LECT NOTES PHYS, V896, P1, DOI 10.1007/978-3-319-14848-9

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