U-Spin Symmetry in Charmless B Decays

Michael Gronau

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U-Spin Symmetry in Charmless B Decays

Michael Gronau

High Energy Physics - Phenomenology · Submitted 28 Aug 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove a general theorem about equal CP rate differences within pairs of U-spin related charmless $B$ and $B_s$ decays.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.36 · compares with prior results 0.10 · mentions code or data availability 0.02.

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We prove a general theorem about equal CP rate differences within pairs of U-spin related charmless $B$ and $B_s$ decays. Large deviations from equalities would be evidence for new physics. Six pairs of decays into two pseudoscalar mesons are identified where such relations hold. Ratios of corresponding rate differences and certain ratios of rates measure U-spin breaking. These processes provide useful information on the weak phase $\gamma={\rm Arg} V^*_{ub}$. Applications of U-spin symmetry to other decays are discussed.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We prove a general theorem about equal CP rate differences within pairs of U-spin related charmless $B$ and $B_s$ decays.	contribution 0.86	0.94	0.82	asserted 1.00
s1	Large deviations from equalities would be evidence for new physics.	interpretation 1.00	0.12	0.16	asserted 0.54
s2	Six pairs of decays into two pseudoscalar mesons are identified where such relations hold.	contribution 0.56	0.88	0.14	asserted 1.00
s3	Ratios of corresponding rate differences and certain ratios of rates measure U-spin breaking.	method 0.47	0.58	0.09	asserted 1.00
s4	These processes provide useful information on the weak phase $\gamma={\rm Arg} V^*_{ub}$.	interpretation 0.91	0.41	0.08	asserted 0.90
s5	Applications of U-spin symmetry to other decays are discussed.	contribution 0.64	0.65	0.04	asserted 0.68

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The paper

Original abstract

We prove a general theorem about equal CP rate differences within pairs of U-spin related charmless $B$ and $B_s$ decays. Large deviations from equalities would be evidence for new physics. Six pairs of decays into two pseudoscalar mesons are identified where such relations hold. Ratios of corresponding rate differences and certain ratios of rates measure U-spin breaking. These processes provide useful information on the weak phase $\gamma={\rm Arg} V^*_{ub}$. Applications of U-spin symmetry to other decays are discussed.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules
hep-ph 2026-08 conditional novelty 6.0 of 10

A Hilbert series construction yields the complete four-meson, two-derivative operator basis with CKM spurions, from which all leading-order B to pseudoscalar decay sum rules follow as null vectors.
Implications on CP violation of charmless three body decays of bottom baryon from the U-spin analysis
hep-ph 2024-11 conditional novelty 5.0 of 10

U-spin symmetry converts recent LHCb CP-violation measurements in Lambda_b charmless three-body decays into CP-asymmetry predictions for Xi_b^0 and Sigma^0 channels, plus a null test for the Standard Model.
Repercussions of Flavour Symmetry Breaking on CP Violation in D-Meson Decays
hep-ph 2012-02 conditional novelty 5.0 of 10

The observed charm CP asymmetry can be accommodated in the Standard Model if U-spin breaking is large and strong phases are sizable, with only moderate room for a fourth quark generation.
Charmless non-leptonic B_s decays to PP, PV and VV final states in the pQCD approach
hep-ph 2007-03 conditional novelty 5.0 of 10

The pQCD approach, at leading order in alpha_s, reproduces the first CDF B_s branching ratios and CP asymmetry within errors and yields a comprehensive table of predictions for B_s to PP, PV, and VV decays.
Measurement of the branching fractions and longitudinal polarisations of $B^0_{(s)} \to K^{*0} \kern 0.18em \overline{\kern -0.18em K}{}^{*0}$ decays
hep-ex 2025-12 accept novelty 4.0 of 10

LHCb measures f_L^d = 0.600 and f_L^s = 0.159 for B to K* Kbar* decays and reports a ratio L of 4.92 that confirms 4.4 sigma discrepancy with theory.

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25 arXiv papers cite this in 44 sentences

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Papers citing it · 29 sentences without a confident label

Builds on it 3 papers

U-spin reflection symmetry $d↔s$ implies expressions similar to Eqs. ([ref]) for corresponding U-spin related amplitudes [ref] , in which one replaces $V^*_cbV_cd$ by $V^*_cbV_cs$ and $V^*_ubV_ud$ by $V^*_ubV_us$.

Small amplitude effects in $B^0\to D^+D^-$ and related decays · $ΔS=1$ $B$ and $B_s$ decays into charm-anticharm · 0.93
In the present paper, we extend the results of Refs. [ref] , by presenting the full set of SU(3) relations in terms of $$ for mesons in both the mass and flavor basis, that is, with and without octet-singlet and neutral $K$ meson mixing.

More Flavor SU(3) Tests for New Physics in CP Violating B Decays · Introduction · 1.00
First, one pair which is not included in the list in Sec. [ref], but appears in Refs. [ref] , is $→π^0$ and $→π^0K^0$.

SU(3) Breaking in Charmless B Decays · SU(3) pairs · 0.89

Compares with it 2 papers

Our results agree with those of [ref] , but are presented in a different way.

More Flavor SU(3) Tests for New Physics in CP Violating B Decays · U-spin Analysis · 1.00
[ref], reproduce the familiar $B→PP$ sum rules conventionally obtained from topological amplitudes or $SU(3)$ reduced matrix elements [ref] .

Hilbert Series of Pseudoscalar Mesons: Operators and Sum Rules · Amplitude sum rules · 0.83

Cites it as background 9 papers

Consider charmless $$ and $$ decays[Much of the material in this section can be found in Refs. [ref] .].

SU(3) Breaking in Charmless B Decays · U Spin and U-Spin Breaking · 0.98
Flavor symmetry is a powerful tool to analyze heavy hadron weak decays, which has been used in $B$ meson decays [ref] .

Isospin sum rules for the nonleptonic $B$ decays · Introduction · 0.81
Flavor symmetry, as a powerful tool to analyze heavy meson and baryon weak decays, has been extensively studied in literature [ref] .

Generation of isospin sum rules in heavy hadron weak decays · Introduction · 1.00

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