Improved method for CKM constraints in charmless threebody B and B{sub s} decays
Abstract
Recently Ciuchini, Pierini, and Silvestrini proposed a method for constraining CKM parameters in B{yields}K{pi}{pi} and B{sub s}{yields}K{pi}{pi} through phase measurements of amplitudes involving I=3/2 K*{pi} final states. We show that complementary information on CKM parameters may be obtained by studying the phases of {delta}I=1 B{yields}(K*{pi}){sub I=1/2}, B{sub s}{yields}(K*K){sub I=1} and B{sub s}{yields}(K*K){sub I=1} amplitudes. Hadronic uncertainties in these constraints from electroweak penguin operators O{sub 9} and O{sub 10}, studied using flavor SU(3), are shown to be very small in B{yields}K{pi}{pi} and B{sub s}{yields}K{pi}{pi} and somewhat larger in B{sub s}{yields}KK{pi}. The first processes imply a precise linear relation between {rho} and {eta}, with a measurable slope and an intercept at {eta}=0 involving a theoretical error of 0.03. The decays B{sub s}{yields}K{pi}{pi} permit a measurement of {gamma} involving a theoretical error below a degree. We note that while timedependence is required when studying B{sup 0} decays at the {upsilon}(4S), it may not be needed when studying B{sub s} decays at hadronic colliders.
 Authors:
 Physics Department, TechnionIsrael Institute of Technology, 32000 Haifa (Israel)
 (United States)
 Center for Theoretical Physics, Massachusetts Institute for Technology, Cambridge, Massachusetts 02139 (United States)
 Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
 Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
 (Slovenia)
 Publication Date:
 OSTI Identifier:
 20933217
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.75.014002; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B NEUTRAL MESONS; FLAVOR MODEL; KAONS; PARTICLE DECAY; PIONS; SU3 GROUPS; THREEBODY PROBLEM; TIME DEPENDENCE
Citation Formats
Gronau, Michael, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, Pirjol, Dan, Soni, Amarjit, Zupan, Jure, and J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana. Improved method for CKM constraints in charmless threebody B and B{sub s} decays. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.014002.
Gronau, Michael, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, Pirjol, Dan, Soni, Amarjit, Zupan, Jure, & J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana. Improved method for CKM constraints in charmless threebody B and B{sub s} decays. United States. doi:10.1103/PHYSREVD.75.014002.
Gronau, Michael, Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, Pirjol, Dan, Soni, Amarjit, Zupan, Jure, and J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana. Mon .
"Improved method for CKM constraints in charmless threebody B and B{sub s} decays". United States.
doi:10.1103/PHYSREVD.75.014002.
@article{osti_20933217,
title = {Improved method for CKM constraints in charmless threebody B and B{sub s} decays},
author = {Gronau, Michael and Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 and Pirjol, Dan and Soni, Amarjit and Zupan, Jure and J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001 Ljubljana},
abstractNote = {Recently Ciuchini, Pierini, and Silvestrini proposed a method for constraining CKM parameters in B{yields}K{pi}{pi} and B{sub s}{yields}K{pi}{pi} through phase measurements of amplitudes involving I=3/2 K*{pi} final states. We show that complementary information on CKM parameters may be obtained by studying the phases of {delta}I=1 B{yields}(K*{pi}){sub I=1/2}, B{sub s}{yields}(K*K){sub I=1} and B{sub s}{yields}(K*K){sub I=1} amplitudes. Hadronic uncertainties in these constraints from electroweak penguin operators O{sub 9} and O{sub 10}, studied using flavor SU(3), are shown to be very small in B{yields}K{pi}{pi} and B{sub s}{yields}K{pi}{pi} and somewhat larger in B{sub s}{yields}KK{pi}. The first processes imply a precise linear relation between {rho} and {eta}, with a measurable slope and an intercept at {eta}=0 involving a theoretical error of 0.03. The decays B{sub s}{yields}K{pi}{pi} permit a measurement of {gamma} involving a theoretical error below a degree. We note that while timedependence is required when studying B{sup 0} decays at the {upsilon}(4S), it may not be needed when studying B{sub s} decays at hadronic colliders.},
doi = {10.1103/PHYSREVD.75.014002},
journal = {Physical Review. D, Particles Fields},
number = 1,
volume = 75,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}

Recently Ciuchini, Pierini and Silvestrini proposed a method for constraining CKM parameters in B {yields} K{pi}{pi} and B{sub s} {yields} K{pi}{pi} through phase measurements of amplitudes involving I = 3/2 K*{pi} final states. We show that complementary information on CKM parameters may be obtained by studying the phases of {Delta}I = 1 B {yields} (K*{pi}){sub I = 1/2}, B{sub s} {yields} (K* {bar K}){sub l=1} and B{sub s} {yields} ({bar K}* K){sub I=1} amplitudes. Hadronic uncertainties in these constraints from electroweak penguin operators O{sub 9} and O{sub 10}, studied using flavor SU(3), are shown to be very small in Bmore »

Observation of B{sub s}{sup 0}{yields}K{sup +}K{sup } and Measurements of Branching Fractions of Charmless TwoBody Decays of B{sup 0} and B{sub s}{sup 0} Mesons in pp Collisions at {radical}(s)=1.96 TeV
We search for decays of the type B{sub (s)}{sup 0}{yields}h{sup +}h{sup '} (where h,h{sup '}=K or {pi}) in 180 pb{sup 1} of pp collisions collected at the Tevatron by the upgraded Collider Detector at Fermilab. We report the first observation of the new mode B{sub s}{sup 0}{yields}K{sup +}K{sup } with a yield of 236{+}32 events, corresponding to (f{sub s}/f{sub d})xB(B{sub s}{sup 0}{yields}K{sup +}K{sup })/B(B{sup 0}{yields}K{sup +}{pi}{sup })=0.46{+}0.08(stat){+}0.07(syst), where f{sub s}/f{sub d} is the ratio of production fractions of B{sub s}{sup 0} and B{sup 0}. We find results in agreement with world averages for the B{sup 0} modes, and set themore » 
Improved measurement of the CKM angle {gamma} in B{sup {+}}{yields}D{sup (*)}K{sup (*){+}} decays with a Dalitz plot analysis of D decays to K{sub S}{sup 0}{pi}{sup +}{pi}{sup } and K{sub S}{sup 0}K{sup +}K{sup }
We report on an improved measurement of the CabibboKobayashiMaskawa CPviolating phase {gamma} through a Dalitz plot analysis of neutral D meson decays to K{sub S}{sup 0}{pi}{sup +}{pi}{sup } and K{sub S}{sup 0}K{sup +}K{sup } produced in the processes B{sup {+}}{yields}DK{sup {+}}, B{sup {+}}{yields}D*K{sup {+}} with D*{yields}D{pi}{sup 0}, D{gamma}, and B{sup {+}}{yields}DK*{sup {+}} with K*{sup {+}}{yields}K{sub S}{sup 0}{pi}{sup {+}}. Using a sample of 383x10{sup 6} BB pairs collected by the BABAR detector, we measure {gamma}=(76{+}22{+}5{+}5) deg. (mod 180 deg.), where the first error is statistical, the second is the experimental systematic uncertainty, and the third reflects the uncertainty on the descriptionmore » 
Constraints on the CKM angle {gamma} in B{sup 0}{yields}D{sup 0}K{sup *0} and B{sup 0}{yields}D{sup 0}K{sup *0} from a Dalitz analysis of D{sup 0} and D{sup 0} decays to K{sub S}{pi}{sup +}{pi}{sup }
We present constraints on the angle {gamma} of the unitarity triangle with a Dalitz analysis of neutral D decays to K{sub S}{pi}{sup +}{pi}{sup } from the processes B{sup 0}{yields}D{sup 0}K*{sup 0} (B{sup 0}{yields}D{sup 0}K*{sup 0}) and B{sup 0}{yields}D{sup 0}K*{sup 0} (B{sup 0}{yields}D{sup 0}K*{sup 0}) with K*{sup 0}{yields}K{sup +}{pi}{sup } (K*{sup 0}{yields}K{sup }{pi}{sup +}). Using a sample of 371x10{sup 6} BB pairs collected with the BABAR detector at PEPII, we constrain the angle {gamma} as a function of r{sub S}, the magnitude of the average ratio between b{yields}u and b{yields}c amplitudes. 
Branching ratios of charmless nonleptonic twobody decays of [ital B][sub [ital s]] mesons
We calculate branching ratios for a number of charmless nonleptonic twobody decays of [ital B][sub [ital s]] mesons using the twoloop renormalizationgroupimproved effective Hamiltonian and the BauerStechWirbel model. The QCD loopinduced (penguin) contributions are taken into account, and the leading 1/[ital N][sub [ital c]] approximation is examined in the naive factorization scheme. Our present estimates of branching ratios for those CabibboKobayashiMaskawa suppressed channels are quite different from the previous results obtained in the treelevel approximation.