Decays of the heavy top and new insights on ϵK in a one-VLQ minimal solution to the CKM unitarity problem
We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted T , is introduced and provides a simple solution to the CKM unitarity problem. We adopt the Botella-Chau parametrization in order to extract the 4 × 3 quark mixing matrix which contains the three angles...
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| Published in | The European physical journal. C, Particles and fields Vol. 82; no. 4 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.04.2022
Springer Nature B.V |
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| Abstract | We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted
T
, is introduced and provides a simple solution to the CKM unitarity problem. We adopt the Botella-Chau parametrization in order to extract the
4
×
3
quark mixing matrix which contains the three angles of the
3
×
3
CKM matrix plus three new angles denoted
θ
14
,
θ
24
,
θ
34
. It is assumed that the mixing of
T
with standard quarks is dominated by
θ
14
. Imposing a recently derived, and much more restrictive, upper-bound on the New Physics contributions to
ϵ
K
, we find, in the limit of exact
θ
14
dominance where the other extra angles vanish, that
ϵ
K
NP
is too large. However, if one relaxes the exact
θ
14
dominance limit, there exists a parameter region, where one may obtain
ϵ
K
NP
in agreement with experiment while maintaining the novel pattern of
T
decays with the heavy quark decaying predominantly to the light quarks
d
and
u
. We also find a reduction in the decay rate of
K
L
→
π
0
ν
ν
¯
. |
|---|---|
| AbstractList | We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted T, is introduced and provides a simple solution to the CKM unitarity problem. We adopt the Botella-Chau parametrization in order to extract the 4×3 quark mixing matrix which contains the three angles of the 3×3 CKM matrix plus three new angles denoted θ14, θ24, θ34. It is assumed that the mixing of T with standard quarks is dominated by θ14. Imposing a recently derived, and much more restrictive, upper-bound on the New Physics contributions to ϵK, we find, in the limit of exact θ14 dominance where the other extra angles vanish, that ϵKNP is too large. However, if one relaxes the exact θ14 dominance limit, there exists a parameter region, where one may obtain ϵKNP in agreement with experiment while maintaining the novel pattern of T decays with the heavy quark decaying predominantly to the light quarks d and u. We also find a reduction in the decay rate of KL→π0νν¯. Abstract We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted T , is introduced and provides a simple solution to the CKM unitarity problem. We adopt the Botella-Chau parametrization in order to extract the $$4\times 3$$ 4 × 3 quark mixing matrix which contains the three angles of the $$3\times 3$$ 3 × 3 CKM matrix plus three new angles denoted $$\theta _{14}$$ θ 14 , $$\theta _{24}$$ θ 24 , $$\theta _{34}$$ θ 34 . It is assumed that the mixing of T with standard quarks is dominated by $$\theta _{14}$$ θ 14 . Imposing a recently derived, and much more restrictive, upper-bound on the New Physics contributions to $$\epsilon _{K}$$ ϵ K , we find, in the limit of exact $$\theta _{14}$$ θ 14 dominance where the other extra angles vanish, that $$\epsilon _{K}^{\text {NP}}$$ ϵ K NP is too large. However, if one relaxes the exact $$\theta _{14}$$ θ 14 dominance limit, there exists a parameter region, where one may obtain $$\epsilon _{K}^{\text {NP}}$$ ϵ K NP in agreement with experiment while maintaining the novel pattern of T decays with the heavy quark decaying predominantly to the light quarks d and u . We also find a reduction in the decay rate of $$K_L\rightarrow \pi ^0 \nu {\overline{\nu }}$$ K L → π 0 ν ν ¯ . We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted T , is introduced and provides a simple solution to the CKM unitarity problem. We adopt the Botella-Chau parametrization in order to extract the 4 × 3 quark mixing matrix which contains the three angles of the 3 × 3 CKM matrix plus three new angles denoted θ 14 , θ 24 , θ 34 . It is assumed that the mixing of T with standard quarks is dominated by θ 14 . Imposing a recently derived, and much more restrictive, upper-bound on the New Physics contributions to ϵ K , we find, in the limit of exact θ 14 dominance where the other extra angles vanish, that ϵ K NP is too large. However, if one relaxes the exact θ 14 dominance limit, there exists a parameter region, where one may obtain ϵ K NP in agreement with experiment while maintaining the novel pattern of T decays with the heavy quark decaying predominantly to the light quarks d and u . We also find a reduction in the decay rate of K L → π 0 ν ν ¯ . |
| ArticleNumber | 360 |
| Author | Silva-Marcos, J. I. Branco, G. C. Bastos, José Filipe Botella, Francisco J. Rebelo, M. N. |
| Author_xml | – sequence: 1 givenname: Francisco J. surname: Botella fullname: Botella, Francisco J. organization: Departament de Física Teòrica and IFIC, Universitat de València-CSIC – sequence: 2 givenname: G. C. surname: Branco fullname: Branco, G. C. organization: Centro de Física Teórica de Partículas, CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa – sequence: 3 givenname: M. N. surname: Rebelo fullname: Rebelo, M. N. organization: Centro de Física Teórica de Partículas, CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa – sequence: 4 givenname: J. I. surname: Silva-Marcos fullname: Silva-Marcos, J. I. organization: Centro de Física Teórica de Partículas, CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa – sequence: 5 givenname: José Filipe orcidid: 0000-0002-8660-3456 surname: Bastos fullname: Bastos, José Filipe email: jose.bastos@tecnico.ulisboa.pt organization: Centro de Física Teórica de Partículas, CFTP, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa |
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| Snippet | We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted
T
, is introduced and provides a simple solution to the CKM... Abstract We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted T , is introduced and provides a simple solution to... We propose a minimal extension of the Standard Model where an up-type vector-like quark, denoted T, is introduced and provides a simple solution to the CKM... |
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| SubjectTerms | Astronomy Astrophysics and Cosmology Decay rate Elementary Particles Hadrons Heavy Ions Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Parameterization Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quarks Regular Article - Theoretical Physics String Theory Upper bounds |
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| Title | Decays of the heavy top and new insights on ϵK in a one-VLQ minimal solution to the CKM unitarity problem |
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